Problema Solution
The width of a rectangle is 2 inches shorter than the length. if both the width and the length are increased 6 inches, the area is increased 216 square inches. find the length and width of the rectangle.
Answer provided by our tutors
The width of a rectangle is 2 inches shorter than the length. if both the width and the length are increased 6 inches, the area is increased 216 square inches. find the length and width of the rectangle
Let l, w be the length, width.
w=l-2.
(l+6)(w+6)=lw+216.
(l+6)(l-2+6)=l(l-2)+216.
(l+6)(l+4)=l^2-2l+216.
l^2+10l+24=l^2-2l+216.
10l+24=-2l+216.
10i+2l=216-24.
12l=192.
l=192/12 =16 inches.
w=l-2=20-2 =14 inches.