Question

The perimeter of the rectangle below is 130 units. Find the length of side PQ.

Write your answer without variables.

Answer 1

PQ = SR = 28 units

RQ = SP = 37 units

Explanation:

p = 2(L + W)

130 = 2 ((5z+2)+(4z))

130 = 2 (5z + 4z +2)

130 = 2(9z + 2)

130 = 18z + 4

130 - 4 = 18z

18z = 126. divide both sides by 18

z = 7

RQ =SP = 5z + 2 = 5×7 +2 = 35+2

RQ = 37 units. SP = 37 units

PQ = SR = 4z = 4 × 7

PQ = 28 units. SR = 28 units