SOLUTION: Find the dimensions of a rectangle whose width is (4x - 3), length is (3x + 2), and the area is 99 square centimeters. width = ?? centimeters length = ?? centimeters

Question 1181966: Find the dimensions of a rectangle whose width is (4x - 3), length is (3x + 2), and the area is 99 square centimeters.
width = ?? centimeters
length = ?? centimeters
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Area of rectangle = L * W
Area = (3x+2)(4x-3)=99
3x*4x +3x*-3 +2*4x -6=99
12x^2 -9x +8x -6 =99
12x^2 -x -105=0
Find the roots
The positive root is 3
negative root is 2.92 (ignore)
plug x=3
Length = (3x+2) = 11 cm
width = (4x-3) = 9 cm

RELATED QUESTIONS
Find the dimensions of a rectangle whose length is 4 times the width and whose area is... (answered by CubeyThePenguin)

the length of a rectangle is 2 centimeters less than 3 times its width. its area is 21... (answered by mananth)

A rectangle�s length is 2 centimeters more than its width. The area of the rectangle is... (answered by Cromlix)

1. Find two integers whose product is 14 such that one of the integers is three less than (answered by josgarithmetic)

A rectangle whose length is 3cm more than its width has an area of 40 square centimeters. (answered by checkley77)

The length of a rectangle is 3 centimeters less than twice its width. Its area is 35... (answered by ikleyn)

The length of a rectangle is 7 centimeters less than four times its width. Its area is 15 (answered by JBarnum)

the length of a rectangle is 3 more than the width. If the area of the rectangle is 10... (answered by greenestamps,solver91311)

the area of a rectangle is 54 square centimeters. the length of the rectangle is 1*1/2... (answered by Alan3354)