The length of a rectangle is 5m more than twice the width, and the area of the rectangle is 63m2. find the dimensions of the rectangle.

Length = 2w + 5

Area = l * w

63 = 2w + 5 * w

63 = 2w² + 5w

2w² + 5w-63=0

(2w-9) (w+7)

2w-9 = 0 w+7=0

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

2w = 9 w = - 7

2w/2=9/2

w = 4.5

Since the width can not negative the width is 4.5

Length = 2 (4.5) + 5

Length = 9 + 5

Length = 14

Check

Area = 4.5 * 14

63 = 63