SOLUTION: A rectangle has a length that is 3 feet more than the width. If the area of the rectangle is 52 square feet more than the area of a square with side 6, what are the dimensions of t

Algebra ->  Rectangles -> SOLUTION: A rectangle has a length that is 3 feet more than the width. If the area of the rectangle is 52 square feet more than the area of a square with side 6, what are the dimensions of t      Log On


   

Question 990608: A rectangle has a length that is 3 feet more than the width. If the area of the rectangle is 52 square feet more than the area of a square with side 6, what are the dimensions of the rectangle?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Length L, width w;
system%28L=w%2B3%2CwL=52-6%2A6%29

w%28w%2B3%29=52-36
w%5E2-3w=56-40=16
w%5E2-3w-16=0

w=%283%2Bsqrt%289%2B4%2A16%29%29%2F2
highlight%28w=%283%2Bsqrt%2873%29%29%2F2%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A rectangle has a length that is 3 feet more than the width. If the area of the rectangle is 52 square feet more than the area of a square with side 6, what are the dimensions of the rectangle?
Width of rectangle: highlight_green%288%29 ft

Length of rectangle: 8 + 3, or highlight_green%2811%29 ft