Answer:
W = 12
L = 16
Step-by-step explanation:
Givens
L = L
W = 1/2 L + 4
Perimeter = 56
Formula
2L + 2W = Perimeter
Solution
Sustitute
2L + 2(1/2L + 4) = 56
2L + L + 8 = 56
3L + 8 = 56
3L + 8 - 8 = 56 - 8
3L = 48
3L/3 = 48/3
W = 8 + 4
Check
2L + 2W = 56
2*16 + 2*12 = 56
32 + 24 = 56
56 = 56 and it checks.
what upAnswer:
Since both terms are perfect squares, factor using the difference of squares formula,
a2−b2=(a+b)(a−b) where a=x and b=16.(+)x16)
