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Alik [6]
3 years ago
15

A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the val

ue for the width.
Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

\longrightarrow l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

\rm \implies 2(Length + Width) = 78 \\  \\  \rm \implies 2(2w + 3 + w) = 78 \\  \\  \rm \implies 2(3w + 3) = 78 \\  \\  \rm \implies 2 \times 3(w + 1) = 78 \\  \\  \rm \implies 6(w + 1) = 78 \\  \\  \rm \implies w + 1 =  \dfrac{78}{6}  \\  \\  \rm \implies w + 1 = 13 \\  \\  \rm \implies w = 13 - 1 \\  \\  \rm \implies w = 12 \: ft

\therefore Width of the rectangle (w) = 12 ft

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