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?

Answer 1

Answer:
`1456\ ft^2`

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* 32\\\Rightarrow A=1456\ ft^2`

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