Question

Ben is planning to fence his rectangular garden. The area of the garden is 50 square feet, and the length of the garden is twice the width. What is the length of the fence?

Answer 1

X times 2x=50
2x^2=50
Divide by 2
X^2= 25
X=5

Length is 10 ft

Answer 2

width of the fence = 5 feet

Length of the fence =10 feet

Explanation:

Ben is planning to fence his rectangular garden. The area of the garden is 50 square feet, and the length of the garden is twice the width.

LEt x be the width of the fence

the length of the fence is twice the width.

Length of the garden = 2 * width = 2x

ARea of the garden = length * width

Plug in 2x for length and x for width

`Area = 2x * x= 2x^2`

Area is 50

`50= 2x^2`

Divide by 2 on both sides

`25= x^2`

Take square root on both sides

x= 5

So width of the fence = 5 feet

Length of the fence = 2x= 2*5= 10 feet