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. if the fencing costs three dollars per foot, what will be the price of the fence?

Answer 1

Let the width be x.
Width = x
Length = 2x

Given that area is 50 ft², we plug in the value to solve for x:
x (2x) = 50
2x² = 50
x² = 25
x = √25
x = 5

Now that we know x, we find the length and the width:
Width = x = 5
Length = 2x = 2 x 5 = 10

With the length and the width, we find the perimeter of the fence:
Perimeter = 2( 5 + 10) = 30 feet

Finally, we calculate the cost of the fence:
I ft = $3
30 ft = $3 x 30 = $90

Answer: The total price of the fencing is $90.