The width of the garden is 9 feet.
The length of the garden is 15 feet.
Step-by-step explanation:
- The vegetable garden is in rectangular shape since the measure of length and width are different.
- Let 'x' be the width of the garden
- length = (x+6) feet
- Area = 135 sq.feet
Area of the rectangle = length[tex]\times[/tex]width
⇒ 135 = (x+6)x
⇒ 135 = x² + 6x
⇒ x²+6x-135 = 0
Using factorization method,
x²+6x-135 = 0
⇒ (x+15)(x-9) = 0
∴ x = -15 and x = 9
The width of the garden is 9 feet.
The length of the garden is (x+6) = 15 feet.
