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 cmJuanita 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

Answer 1

the answer is 4 and 7

Answer 2

Correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.

Explanation:

The opposite sides of a parallelogram are equal.

`5n-6=3n-2`

`2n=4`

Divide both sides by 2.

`n=2`

The value of n is 2.

The lengths of two adjacent sides of the parallelogram are

`5n-6=5(2)-6=10-6=4`

`2n+3=2(2)+3=7`

Therefore the correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.