The area of a rectangle is 63 m^2, and the length of the rectangle is 5 m more than twice the width. Find the dimensions of the rectangle.

Question

The area of a rectangle is 63 m^2, and the length of the rectangle is 5 m more than twice the width. Find the dimensions of the rectangle.

Answer 1

 

 

(2w + 5)w = 63

 

2w² + 5w = 63

 

2w² + 5w - 63 = 0

 

(2w - 9)(w + 7) = 0

 

so, (2w - 9) = 0 or (w + 7) = 0

 

we only use (2w - 9) = 0 because w is positive here

 

2w = 9 ---> w = 9/2 meters