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. The third side measures (2n + 3) cm.

What are the lengths of two adjacent sides of the parallelogram?

2 cm and 2 cm
4 cm and 7 cm
7 cm and 9 cm
13 cm and 19 cm

The Correct Answer is B. 4 cm and 7 cm <---------

Answer 1

4cm and 7cm it is mentioned there

Answer 2

The correct option is B.

Explanation:

It is given that the opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The measure of third side is (2n + 3) cm.

We know that the opposite sides of a parallelogram are equal.

`5n-6=3n-2`

`5n-3n=-2+6`

`2n=4`

`n=4`

The length of a side is

`5n-6=5(2)-56`

`5n-6=10-6`

`5n-6=4`

Therefore length of two opposite sides is 4 cm.

The length of third side is

`2n+3=2(2)+3`

`2n+3=4+3`

`2n+3=7`

Therefore length of third side is 7 cm.

So, we can say that the lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm. Option B is correct.