A square and a triangle have equal perimeters. the square has a perimeter of 4 (2p-4), and the triangle has a perimeter of 4p+36. find the perimeter value.

A. p = 72

B. p = 44

C. p = 88

D. p = 36

C

Step-by-step explanation:

Since the figures have equal perimeters we can equate them, thus

4 (2p - 4) = 4p + 36 ← distribute left side

8p - 16 = 4p + 36 (subtract 4p from both sides)

4p - 16 = 36 (add 16 to both sides)

4p = 52 (divide both sides by 4)

p = 13

Substitute p = 13 into either of the 2 expressions, then

4p + 36 = 4 (13) + 36 = 52 + 38 = 88 → C