Answer: W = 20 1/3, L = 7 2/3 cm
Step-by-step explanation:
Width, W, is 5 cm more than twice the length of the perimeter.
Perimeter = 2W + 2L
W = 2L+5
Perimeter is 56cm:
56 cm = 2W + 2L
Substitute W = 2L + 5 for W:
56 cm = 2W + 2L
56 cm = 2(2L+5) + 2L
56 cm = 4L + 10 + 2L
6L = 46 cm
L = 7 2/3 cm
Since W = 2L + 5
W = 2(7 2/3) + 5
W = 2 (23/3) + 5
W = 46/3 + 5
W = 15 1/3 + 5
W = 20 1/3
2W + 2L = P?
2(20 1/3) + 2(7 2/3) =56 ?
40 2/3 + 15 1/3 = 56?
56 = 56 YES
