How to find the perimeter of a parallelogram

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Math › How to find the perimeter of a parallelogram

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Find the perimeter (in inches) of a parallelogram that has a base of $\small \small 1\frac{3}{4} ft$ and a side length of $\small 1\frac{1}{2} ft$ .

$\small 78in$

$\small 39in$

$\small 378 in$

$\small 89in$

Explanation

To find the perimeter of the parallelogram apply the formula: $\small Perimeter=2(base+side)$ . However, to find the solution with the correct unit, convert $\small 1\frac{3}{4} feet=21 inches$ and $\small 1\frac{1}{2}feet=18 inches$ . We can convert feet into inches because .

Thus, the solution is:

$\small P=2(21+18)$
$\small P=2(39)$
$\small P=78$

A parallelogram has a base length of $\small 15$ and a side length of $\small \frac{base}{2}$ . Find the perimeter of the parallelogram.

$\small 45$

$\small 39$

$\small 54$

$\small 30$

Explanation

To solve this problem, apply the formula: $\small P=2(base+side)$ .

Since, the side length is equal to $\small \frac{base}{2}$ , the solution is:

$\small P=2(15+\frac{15}{2})$

$\small P=2(15+7.5)$

$\small P=2(22.5)=45$

Find the perimeter of the following parallelogram:

$38 + 8\sqrt{2}\ m$

$36 + 8\sqrt{2}\ m$

$34 + 8\sqrt{2}\ m$

$32 + 8\sqrt{2}\ m$

$40 + 8\sqrt{2}\ m$

Explanation

The formula for the perimeter of a parallelogram is

Plugging in our values, we get:

$P = 2(4\sqrt{2}\ m)+2(19\ m)$

$P = 38 + 8\sqrt{2}\ m$

Parallelogram_custom_2

Find the perimeter of the parallelogram shown above.

$\small 26$

$\small 48$

$\small 40$

$\small 19$

Explanation

In order to find the perimeter of this parallelogram, apply the formula:
$\small Perimeter=2(base+side)$ .

The solution is:

$\small P=2(8+5)$

$\small \small P=2(13)=26$

If a parallelogram has a base that is three times the length of the side, and the side length is equal to $\small \frac{3}{4}foot$ , what is the perimeter of the parallelogram in inches?

Explanation

The side length of this parallelogram is $\small \frac{3}{4}$ foot, which is equivalent to $\small 9$ inches because $12in=1ft \rightarrow \frac{3}{4}\cdot 12=\frac{36}{4}=9in$ .

Thus, the base must be $\small 9\times 3=27$ .

Then, apply the formula $\small p=2(base+side)$

$\small P=2(27+9)$

$\small P=2(36)=72$

Find the perimeter of the following parallelogram:

Screen_shot_2014-02-27_at_6.43.30_pm

Explanation

The formula for the perimeter of a trapezoid is:

where is the length of the base and is the length of the edge.

Opposite sides of a parallelogram have the same length. Therefore, both edges are and both bases are .

Plugging in our values, we get:

Parallelogram_custom_3

Find the perimeter of the parallelogram shown above.

$\small 224$

$\small 112$

$\small 110$

$\small 248$

Explanation

To find the perimeter of this parallelogram, first find the length of the side: $\small h\times\frac{1}{3}$ .

Since, $\small h=48$ , the side must be $\small 48\div 3=16$ .

Then apply the formula:

$\small p=2(base+side)$

$\small p=2(96+16)$

$\small p=2(112)=224$

If a parallelogram has a base of $\small 9$ and a side length of $\small \frac{9}{3}$ , find the perimeter of the parallelogram.

$\small 24$

$\small 12$

$\small 27$

$\small 21$

Explanation

To solve this problem, apply the formula: $\small p=2(base+side)$ .

Thus, the solution is:

$\small p=2\left(9+\frac{9}{3}\right)$

$\small p=2(9+3)$

$\small p=2(12)=24$

A parallelogram has a side length $\small \frac{1}{4}$ that of the length of the base. If the length of the base is $\small \small 524mm$ , find the perimeter of the parallelogram.