A farmer builds a fence to enclose a rectangular pasture, He uses 160 feet of fence. How do you find the total area of the pasture if it is 50 feet long?

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Answer 1 · 2017-06-02T04:57:00

The area of the pasture is #1,500# square feet.

Since the fence represents the perimeter of the pasture, we can use the data given to find the width of the pasture.

#P=2l+2w#, where #P=#Perimeter, #l=#length, and #w=#width.

#160=(2xx50)+2w#

#160=100+2w#

Subtract #100# from each side.

#60=2w#

Divide both sides by #2#.

#30=w#

Hence, the width of the pasture is #30# feet.

To calculate the area, we use the formula:

#A=lxxw#, where #A=#Area

#A=50xx30#

#A=1500#

Hence, the area of the pasture is #1,500# square feet.