Question

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.

Answer 1

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