Question

The area of the parallelogram shown is 36 m m^2. What is the perimeter? Show your work.

Answer 1

Okay, what is the definition of the perimeter of a parallelogram?

Answer 2

It's just the sum of the lengths of the 4 sides, right?

Answer 3

We know that the opposite sides of a parallelogram are equal, so 2 of the sides are 15mm. But what of the top and bottom? That's where the known area comes in. The formula for the area of a parallelogram is A = b*h. We have A, and we have h (it's the dashed line over to the right). We can find b, which is the length of the top and bottom sides of the parallelogram, by solving A = b*h for b and putting in the values of A and h. Then with b in hand, we can finish finding the perimeter of the parallelogram. What's your answer?

Answer 4

38

Answer 5

Very good!

Answer 6

thx