the dimensions of a rectangle are such that its length is 5 in. more than its width. If the length were doubled and if the width were decreased by 2 in., the area would be increased by 162 in squared. What are the length and width of the rectangle?

Question

the dimensions of a rectangle are such that its length is 5 in. more than its width.  If the length were doubled and if the width were decreased by 2 in., the area would be increased by 162 in squared.  What are the length and width of the rectangle?

karatechopper · Answer

New dimensions:
width = x+2
length = 2(x+5)
Area is 2(x+5)(x+2) = 2(x^2+7x+10) = 2x^2+14x+20

karatechopper · Answer

Original dimensions:
Let the width be "x".
Then the length is "x+5"
Area is x(x+5) = x^2+5x.