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.

Answer 1

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

Answer 2

Could you explain why the length is 28-w?

Answer 3

because the perimeter is 56,

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