AnswersMath 3Parallelograms — QuizQuestion 46
46
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Parallelograms — Quiz

Question 46 • Math 3

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths open paren 5 n minus 6 close paren cm and open paren 3 n minus 2 close paren cm. A third side measures open paren 2 n plus 3 close paren cm. What are the lengths of two adjacent sides of the parallelogram?

Answer
A
13 cm and 19 cm
B
7 cm and 9 cm
C
4 cm and 7 cm
D
2 cm and 2 cm

Explanation

Opposite sides of a parallelogram have equal lengths, so set 5n − 6 equal to 3n − 2. Solving gives 2n = 4, so n = 2. The side length is then 5(2) − 6 = 4 cm, and the third side is 2(2) + 3 = 7 cm. Thus the adjacent sides are 4 cm and 7 cm, choice A.

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