Question

The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :

Answer 1

Answer: length = 10 yards

Width = 4.5 yard

Step-by-step explanation:

Let the width be represented by x.

Since the length of a rectangle is 1 yd more than twice the width. This will be:

= (2 × x) + 1

= 2x+1

Area = 45

Note that length × breadth = Area

(2x + 1) × x = 45

2x² + x = 45

Equate the equation to 0

2x² + x - 45 = 0

2x² + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9) = 0

2x = 9

x = 9/2

The width is 4.5 yard

Length = 2x + 1

= 2(4.5) + 1

= 9 + 1

= 10 yard