THE LENGTH OF THE RECTANGLE EXCEEDS ITS WIDTH BY 3 CM. IF THE LENGTH AND WIDTH OF EACH INCREASED BY 2 CM, THEN THE AREA OF NEW RECTANGLE WILL BE 70 SQ. CM MORE THAN THAT OF THE GIVEN RECTANGLE. FIND THE LENGTH AND WIDTH OF THE GIVEN RECTANGLE.

Answer 1

L = w + 3

(L+2)(w+2) = 70 + (L)(w)

(w+5)(w+2) = 70 + (w+3)(w)

w^2 + 7 w + 10 = 70 + w^2 + 3 w

4 w - 60 = 0

w = 15
L = w+3 = 18