How to find the perimeter of a parallelogram

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ISEE Middle Level Quantitative Reasoning › How to find the perimeter of a parallelogram

Questions 1 - 4

1

If a parallelogram has side lengths of and , what is the perimeter?

Explanation

The perimeter of a parallelogram is two times the two side lengths and add them together.

$\P=s_1+s_2+s_3+s_4 \s_1=s_3 \s_2=s_4 \P=s_a+s_a+s_b+s_b \P=2s_a+2s_b$

Therefore, this particular problem becomes as follows.

and

so

.

2

If the perimter of a parallelogram is and one of the sides is , what is the other side length?

The answer cannot be found

Explanation

The perimeter of a parallelogram is found by adding up all four sides.

Since there are two pairs of side with equal lengths, two sides must have a length of .

So the perimeter would be

or .

To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .

So $20\div2=10$ .

That means the other side length would be .

3

Parallelogram

Note: Figure NOT drawn to scale.

$a = 18; \textrm{in} ,b=26; \textrm{in},h=12; \textrm{in}$ , where and represent side lengths of the parallelogram and represents the height.

Find the perimeter of the parallelogram in the diagram.

$88 ;\textup{in}$

$44 ;\textup{in}$

$60 ;\textup{in}$

$46 ;\textup{in}$

$76 ;\textup{in}$

Explanation

The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes

.

Note that the height is irrelevant to the answer.

4

Find the perimeter of the parallelogram.

26 in

13 in

36 in

18 in

Explanation

To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.

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