Answer:
QR = 48 units
Step-by-step 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
