Answer:
24 and 8
Explanation:
The formula for the perimeter of the rect. is P = 2W + 2L.
Here, L = 2W + 8, so the area formula becomes:
P = 2W + 2(2W + 8) = 64
Dividing all terms by 2 reduces this to:
W + 2W + 8 = 32, or 3W = 24, or W = 8.
Then: L = 2W + 8 = 2(8) + 8 = 24
Check: does 2W + 2L = 64 when these values for W and L are substituted?
Is 2(8) + 2(24) = 64 true? Yes
The length and width are 24 and 8 respectively.
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