Question

GEOMETRY

Parallelogram PQRS is a square . The length of side PQ = 2x + 8 and the perimeter of ABCD = 96. What is the length of side PQ?
40
52
44
24

Answer 1

24

Explanation:

I think you meant PQRS not ABCD?

If so, perimeter is the sum of all four sides of a square. Since square has same side lengths,

Perimeter = 4(2x+8)

96=8x+32

64=8x

x=8

So plugging this back into expression,

2(8)+8= 24