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?

A) 2 cm and 2 cm

B) 4 cm and 7 cm

C) 7 cm and 9 cm

D) 13 cm and 19 cm

Question

Mathematics

Cassandra Ortiz

24 August, 13:20

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?

A) 2 cm and 2 cm

B) 4 cm and 7 cm

C) 7 cm and 9 cm

D) 13 cm and 19 cm

+2

Answers (1)

Know the Answer?

Derick Miller · Answer 1

To find this, set the opposite ends equal to one another and solve for n

5n-6 = 3n-2 subtract 3n from both sides

2n-6 = - 2 add 6 to both sides

2n = 4 divide both sides by 2

n=4

now use this to solve for the sides

5n-6

5 (2) - 6

4

and

2n+3

2 (2) + 3

7

adjacent means next to each other so it is 4 and 7 + B

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