A carpet has a perimeter of 320 feet. If the length is 3 times the width, what are the dimensions of the carpet? The width = [a.) 120 b.) 40 c.) 80]
The length = [d.) 120 e.) 40 f.) 80]

Step-by-step explanation:

p = 2×(l+w)

=> l = 3w

p = 2×(3w+w)

320 = 2× 4w

320 = 8w

=> w = 320/8 = 40

l = 3×40 = 120

so,

The width = b. ) 40 ft

The length = d.) 120 ft

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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