Asked by Dave

A rectangular field has a perimeter of 56 rods. If a strip 2 rods wide is cut from all sides of the field, the remaining part of the field has an area of 91 rods. Find the dimensions of the field.
Answered by Steve
If the field has width w, then the length is 28-w.

(w-4)(28-w-4) = 91
w^2-28w+187 = 0
w = 11

The field is 11x17

The smaller area is 7x13 = 91
Answered by Dave
Could you explain why the length is 28-w?
Answered by Steve
because the perimeter is 56,

2w + 2l = 56
l + w = 28
l = 28-w
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