Pre-Algebra : Area

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #31 : Area Of A Rectangle Or Square

What is the area of a square with a side length of \(\displaystyle 20\) inches?

Possible Answers:

\(\displaystyle 200\) \(\displaystyle in^2\)

\(\displaystyle 500\) \(\displaystyle in^2\)

\(\displaystyle 100\) \(\displaystyle in^2\)

\(\displaystyle 800\) \(\displaystyle in^2\)

\(\displaystyle 400\) \(\displaystyle in^2\)

Correct answer:

\(\displaystyle 400\) \(\displaystyle in^2\)

Explanation:

To find the area of a square, simply multiply the side length by itself. Because the side length of the square in question is \(\displaystyle 20\), the best answer is:

\(\displaystyle 20\times 20 =400\)

\(\displaystyle 400\) \(\displaystyle in^2\)

Example Question #32 : Geometry

The short side of a rectangle measures \(\displaystyle 3\) inches, and the long side measures \(\displaystyle 7\) inches. What is its area?

 

Possible Answers:

\(\displaystyle 21\) \(\displaystyle in^2\)

\(\displaystyle 23\) \(\displaystyle in^2\)

\(\displaystyle 18\) \(\displaystyle in^2\)

\(\displaystyle 27\) \(\displaystyle in^2\)

\(\displaystyle 20\) \(\displaystyle in^2\)

Correct answer:

\(\displaystyle 21\) \(\displaystyle in^2\)

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side.  

The best answer is:

\(\displaystyle 3\times 7=21\)

\(\displaystyle 21\) \(\displaystyle in^2\)

Example Question #33 : Geometry

A rectangle measures \(\displaystyle 4\) inches on its short side, and \(\displaystyle 5\) inches on its long side. What is its area?

Possible Answers:

\(\displaystyle 28\) \(\displaystyle in^2\)

\(\displaystyle 23\) \(\displaystyle in^2\)

\(\displaystyle 30\) \(\displaystyle in^2\)

\(\displaystyle 20\) \(\displaystyle in^2\)

\(\displaystyle 15\) \(\displaystyle in^2\)

Correct answer:

\(\displaystyle 20\) \(\displaystyle in^2\)

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side.

The best answer is:

\(\displaystyle 4 \times 5=20\)

\(\displaystyle 20\) \(\displaystyle in^2\)

Example Question #34 : Geometry

What is the area of a square with a side length of \(\displaystyle 19\) inches?

Possible Answers:

\(\displaystyle 381\) square inches

\(\displaystyle 361\) square inches

\(\displaystyle 371\) square inches

\(\displaystyle 351\) square inches

\(\displaystyle 341\) square inches

Correct answer:

\(\displaystyle 361\) square inches

Explanation:

To find the area of a square, simply multiply the side length by itself.  Because the side length of the square in question is \(\displaystyle 19\) inches, the best answer is:

\(\displaystyle 361\) square inches

Example Question #35 : Geometry

What is the area of a square with a side length of \(\displaystyle 22.5\) inches?

Possible Answers:

\(\displaystyle 506.55\) square inches

\(\displaystyle 506.20\) square inches

\(\displaystyle 506.65\) square inches

\(\displaystyle 506.25\) square inches

\(\displaystyle 506\) square inches

Correct answer:

\(\displaystyle 506.25\) square inches

Explanation:

To find the area of a square, simply multiply the side length by itself.  Because the side length of the square in question is \(\displaystyle 22.5\), the best answer is:

\(\displaystyle 506.25\) square inches

Example Question #36 : Geometry

A rectangle measures \(\displaystyle 6\) inches on its short side, and \(\displaystyle 11\) inches on its long side.  What is its area?

Possible Answers:

\(\displaystyle 36\) square inches

\(\displaystyle 662\) square inches

\(\displaystyle 76\) square inches

\(\displaystyle 66\) square inches

\(\displaystyle 166\) square inches

Correct answer:

\(\displaystyle 66\) square inches

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side.  The best answer is:

\(\displaystyle 66\) square inches

Example Question #37 : Geometry

A rectangle measures \(\displaystyle 5\) inches on its short side, and \(\displaystyle 18\) inches on its long side.  What is its area?

Possible Answers:

\(\displaystyle 70\) square inches

\(\displaystyle 90\) square inches

\(\displaystyle 100\) square inches

\(\displaystyle 80\) square inches

\(\displaystyle 60\) square inches

Correct answer:

\(\displaystyle 90\) square inches

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side.  The best answer is:

\(\displaystyle 90\) square inches

Example Question #31 : Area

A table measures three feet by twenty feet.  What is the area of the table?

Possible Answers:

\(\displaystyle 40\) square feet

\(\displaystyle 80\) square feet

\(\displaystyle 50\) square feet

\(\displaystyle 70\) square feet

\(\displaystyle 60\) square feet

Correct answer:

\(\displaystyle 60\) square feet

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side.  The best answer is:

\(\displaystyle 60\) square feet

Example Question #32 : Area

A square table measures five and a half feet along its sides.  What is its area?

Possible Answers:

\(\displaystyle 30.35\) square feet

\(\displaystyle 25.25\) square feet

\(\displaystyle 30.25\) square feet

\(\displaystyle 35.15\) square feet

\(\displaystyle 30.45\) square feet

Correct answer:

\(\displaystyle 30.25\) square feet

Explanation:

To find the area of a square, simply multiply the side length by itself.  Because the side length of the square in question is \(\displaystyle 5.5\) feet, the best answer is:

\(\displaystyle 30.25\) square feet

Example Question #40 : Geometry

Find the area of a rectangle with a width of 4cm and a length that is two times the width.

Possible Answers:

\(\displaystyle 32\text{cm}\)

\(\displaystyle 24\text{cm}^2\)

\(\displaystyle 24\text{cm}\)

\(\displaystyle 32\text{cm}^2\)

\(\displaystyle 16\text{cm}^2\)

Correct answer:

\(\displaystyle 32\text{cm}^2\)

Explanation:

The formula for the area of a rectangle is

\(\displaystyle A = l \cdot w\)

where l is the length of the rectangle, and w is the width.

We know the width of the rectangle is 4cm.  The length is two times the width, so the length is 8cm.  Now, we substitute.  We get

\(\displaystyle A = 8\text{cm} \cdot 4\text{cm}\)

\(\displaystyle A = 32\text{cm}^2\)

Therefore, the area of the rectangle is \(\displaystyle 32\text{cm}^2\)

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