Question

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram?

Answer 1

4 cm and 7 cm

Explanation:

Given that Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm.

We know that opposite sides are equal in a parallelogram.

Hence we have

`5n-6 = 3n-2\\2n =4\\n=2`

Hence the side length =
`5(2)-6 =4 cm`

The adjacent side =
`2n+3\\=2(2)+3\\=7cm`

Thus answer is 4 cm and 7 cm