SOLUTION: the area of a carpet is 308 sq m .If its length is 2 meters less and its width 6 meters more,the carpet will be square.Find the dimensions of the carpet.
P.S Solving Quadratic E
Algebra ->
Quadratic Equations and Parabolas
-> SOLUTION: the area of a carpet is 308 sq m .If its length is 2 meters less and its width 6 meters more,the carpet will be square.Find the dimensions of the carpet.
P.S Solving Quadratic E
Log On
Question 374107: the area of a carpet is 308 sq m .If its length is 2 meters less and its width 6 meters more,the carpet will be square.Find the dimensions of the carpet.
P.S Solving Quadratic Equations by Completing the Square is the topic.
You can put this solution on YOUR website! the area of a carpet is 308 sq m .If its length is 2 meters less and its width 6 meters more,the carpet will be square.Find the dimensions of the carpet.
P.S Solving Quadratic Equations by Completing the Square is the topic.
Let x = the width of the carpet
y = the length of the carpet
1st equation
xy = 308
y = 308/x
2nd equation
y-2 = x+6
since y=308/x in 1st equation, the 2nd equation becomes
308/x - 2 = x+6
combine like terms
308/x -x - 8 = 0
multiply both sides by x
308 - x^2 -8x = 0
multiply both sides by -1 and rearrange
x^2 + 8x - 308 = 0
(x+22)(x-14) = 0
x-14 = 0
x = 14
So y = 300/14 = 22
The width of the carpet is 14 meters and the length of the carpet is 22 meters.
