Solution:
Note that:
- Perimeter of parallelogram: 108 ft
- 2(x/4 + 2x) = 108
Solve for x. Then find the measurements of PQ and QR.
- 2(x/4 + 2x) = 108
- => (x/2 + 4x) = 108
- => (x/2 + 8x/2) = 108
- => (9x/2) = 108
- => 9x = 216
- => x = 216/9 = 24
- => PQ = x/4
- => PQ = 24/4 = 6 feet
- => QR = 2x
- => QR = 2(24) = 48 feet
