Problema Solution
a rectangular field is twice as long as it is wide. if the perimeter of the field is 72 yards what are the detentions
Answer provided by our tutors
Let
w = the width of the field, w>0
l = the length of the field, l>0
P = 72 yd the perimeter of the field
A rectangular field is twice as long as it is wide:
l = 2w
The perimeter of a rectangular field is: P = 2(l + w) thus we have
2(l + w) = 72
We need to solve the following system of equations:
l = 2w
2(l + w) = 72
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l = 24 yd
w = 12 yd
The dimensions of the field are: the length is 24 yards and the width is 12 yards.