L = W+4 (the length is 4 inches more than length (given))
.
L-2 (if 2 inches are taken from L) and added to the width (W+2) the figure becomes a square.
A square has 4 equal sides.
L-2 = W+2
.
We are told the area of the square is 272.25.
(L-2)(X+2) = 272.25
.
Substituting from L = W+4
(l+4 -2)(w+ 2) = 272.25
(w+2)(w+2) = 272.25
.
Taking the square root
(W+2) = sqrt(272.25) = 16.5
.
Subtracting 2 from both sides
W = 12
and
L = W+4 = 16
.
Is the length 4 more than width? Yes.
If you subtract 2 from length and add 2 to width, and then multiply them, is the result 272.25? Yes.
Done. kindlyrecheck=)
sry if something's wrong ^_^
