A farmer builds a fence to enclose a rectangular pasture. He uses 155 feet of fence. Find the total area of the pasture if it is 45.5 feet l

Question

A farmer builds a fence to enclose a rectangular pasture. He uses 155 feet of fence. Find the total area of the pasture if it is 45.5 feet long. The length is 6 and the height is 5 what is the width?

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Gia Bảo 5 years 2021-08-06T02:20:40+00:00 1 Answers 44 views 0

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    2021-08-06T02:22:19+00:00

    Answer: 1456\ ft^2

    Step-by-step explanation:

    Given

    Length of whole fence is 155 feet

    If the length of rectangle is 45.5 ft

    Suppose width is w

    Length of whole fence is perimeter which is given by

    \Rightarrow 155=2(45.5+w)\\\Rightarrow 77.5=45.5+w\\\Rightarrow w=32\ ft

    Area of the rectangle is given by the product of length and width

    \Rightarrow A=lw\\\Rightarrow A=45.5\times 32\\\Rightarrow A=1456\ ft^2

    Thus, total area of pasture is 1456\ ft^2

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