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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #291 : Squares

Find the length of a side of a square that has an area of 1156 $\displaystyle 1156$.

Possible Answers:

$\displaystyle 34$

289 $\displaystyle 289$

$\displaystyle 34$

192 $\displaystyle 192$

Correct answer:

$\displaystyle 34$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{1156}=34$ $\displaystyle \text{Side length}=\sqrt{1156}=34$

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Example Question #292 : Squares

If the area of a square is 256 $\displaystyle 256$, find the length of one side of the square.

Possible Answers:

$\displaystyle 64$

$\displaystyle 48$

$\displaystyle 16$

$\displaystyle 32$

Correct answer:

$\displaystyle 16$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{256}=16$ $\displaystyle \text{Side length}=\sqrt{256}=16$

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Example Question #293 : Squares

If the area of a square is 1369 $\displaystyle 1369$, find the length of one side of the square.

Possible Answers:

$\displaystyle 18$

$\displaystyle 48$

$\displaystyle 74$

$\displaystyle 37$

Correct answer:

$\displaystyle 37$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{1369}=37$ $\displaystyle \text{Side length}=\sqrt{1369}=37$

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Example Question #294 : Squares

If the area of a square is 729 $\displaystyle 729$, find the length of one side of the square.

Possible Answers:

$\displaystyle 27$

$\displaystyle 81$

$\displaystyle 9$

$\displaystyle 54$

Correct answer:

$\displaystyle 27$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{729}=27$ $\displaystyle \text{Side length}=\sqrt{729}=27$

Report an Error

Example Question #295 : Squares

If the area of a square is 361 $\displaystyle 361$, find the length of one side of the square.

Possible Answers:

$\displaystyle 18$

$\displaystyle 38$

$\displaystyle 21$

$\displaystyle 19$

Correct answer:

$\displaystyle 19$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{361}=19$ $\displaystyle \text{Side length}=\sqrt{361}=19$

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Example Question #541 : Quadrilaterals

If the area of a square is 676 $\displaystyle 676$, find the length of one side of the square.

Possible Answers:

$\displaystyle 26$

$\displaystyle 28$

$\displaystyle 22$

$\displaystyle 24$

Correct answer:

$\displaystyle 26$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{676}=26$ $\displaystyle \text{Side length}=\sqrt{676}=26$

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Example Question #542 : Quadrilaterals

If the area of a square is 4624 $\displaystyle 4624$, find the length of one side of the square.

Possible Answers:

$\displaystyle 68$

$\displaystyle 66$

$\displaystyle 78$

$\displaystyle 62$

Correct answer:

$\displaystyle 68$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{4624}=68$ $\displaystyle \text{Side length}=\sqrt{4624}=68$

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Example Question #543 : Quadrilaterals

If the area of a square is 1521 $\displaystyle 1521$, find the length of one side of the square.

Possible Answers:

$\displaystyle 29$

$\displaystyle 19$

$\displaystyle 39$

$\displaystyle 49$

Correct answer:

$\displaystyle 39$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{1521}=39$ $\displaystyle \text{Side length}=\sqrt{1521}=39$

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Example Question #34 : How To Find The Length Of The Side Of A Square

If the area of a square is 2209 $\displaystyle 2209$, find the length of one side of the square.

Possible Answers:

$\displaystyle 37$

$\displaystyle 57$

$\displaystyle 47$

$\displaystyle 27$

Correct answer:

$\displaystyle 47$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{2209}=47$ $\displaystyle \text{Side length}=\sqrt{2209}=47$

Report an Error

Example Question #35 : How To Find The Length Of The Side Of A Square

If the area of a square is 5476 $\displaystyle 5476$, find the length of one side of the square.

Possible Answers:

$\displaystyle 94$

$\displaystyle 74$

$\displaystyle 84$

$\displaystyle 64$

Correct answer:

$\displaystyle 74$

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$ $\displaystyle \text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

$\text{side length}=\sqrt{\text{Area}}$ $\displaystyle \text{side length}=\sqrt{\text{Area}}$

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{5476}=74$ $\displaystyle \text{Side length}=\sqrt{5476}=74$

Report an Error

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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #291 : Squares

Example Question #292 : Squares

Example Question #293 : Squares

Example Question #294 : Squares

Example Question #295 : Squares

Example Question #541 : Quadrilaterals

Example Question #542 : Quadrilaterals

Example Question #543 : Quadrilaterals

Example Question #34 : How To Find The Length Of The Side Of A Square

Example Question #35 : How To Find The Length Of The Side Of A Square

All Basic Geometry Resources

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