The length of a rectangle is 5m more than twice the width, and the area of the rectangle is 52m2. find the dimensions of the rectangle. Question The length of a rectangle is 5m more than twice the width, and the area of the rectangle is 52m2. find the dimensions of the rectangle. in progress 0 Math Reagan 1 month 2021-12-27T16:22:25+00:00 2021-12-27T16:22:25+00:00 1 Answer 0 views 0

## Answers ( )

Answer:Width = 4 m

Length = 13m

Step-by-step explanation:Let width = x

Length = 2x + 5

Area = 52 m²

length * width = 52

(2x + 5) * x = 52

2x *x + 5*x = 52

2x² +5x – 52 =0

2x² – 8x + 13x – 13*4 = 0

2x*(x – 4) + 13*(x – 4) = 0

(x – 4) (2x + 13) = 0

x – 4 = 0

{Ignore 2x + 13 = 0 as measurements will not be in negative}x = 4 m

Width = 4 mLength = 2*4 + 5 = 8+5 = 13m