SOLUTION: 2. The perimeter of a rectangular field is 140 yards. The land sells for $10 / yd2 and the total cost of the land is $12,000. What are the dimensions of the field?

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Question 553299: 2. The perimeter of a rectangular field is 140 yards. The land sells for $10 / yd2 and the total cost of the land is $12,000. What are the dimensions of the field?

Answer by prateekagrawal(56)   (Show Source): You can put this solution on YOUR website!
Here area= cost/rate
so,
.

is the area.
perimeter is 140 yards.
so, 2(l+b) = 140
l+b= 70
b= 70- l ----(1)
.
area = l*b =l*(70-l)=1200
solve this, we will get l=40 yd or 30 yd.
when l= 40yd, b= 30yd
and when l=30yd , b= 40 yd.
.
so, dimensions are 40yd x 30 yd.

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