Question

The perimeter of the rectangle below is 176 units. Find the length of side QR.

Rectangle QRSP
QR=5z-2
QP=4z

Answer 1

QR = 48 units

Explanation:

in a rectangle, opposite sides are equal

so QR = PS and QP = RS

also we know that the sum of all sides is the perimeter, which is 176

we can set up this equation:

2(5z - 2) + 2(4z) = 176

10z - 4 + 8z = 176

18z - 4 = 176

18z = 180

z = 10

QR = 5z - 2

we can substitute 10 for 'z' to get:

5(10) - 2 = 50 - 2 or 48

Check:

2(48) + 2(40) = 176

96 + 80 = 176

176 = 176