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
