Question

The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm.

What are the lengths of adjacent sides of the parallelogram?

Answer 1

40 cm & 50 cm

Explanation:

one side = X cm (??)

the other side =X+10 cm

Solve

2(x+x+10)=180

x+x+10=90

2x=80

x = 80/2

x=40

therefore

x+10=50cm

Answer 2

One side is 40 cm and the adjacent side is 50 cm

Explanation:

We can use a rectangle because a rectangle is a parallelogram. Draw a rectangle. Write the width as x and the length as x + 10. We find the perimeter by adding all 4 side lengths.

Two side lengths are x and two side lengths are x + 10. If we add all of this together we get 180

x +x +x+10+x+10 = 180

4x + 20 = 180 Combine the like terms. There are 4 x's and 10+10 is 20

4x = 160 Subtract 20 from both sides

x = 40 Divide both sides by 4

So, two sides are 40 and two sides are 50, this will add up to 180