Question

Mason has 108 feet of material to build a fence around a rectangular pool on his property. If the width of the fence must be 6 feet, what is the length of the fence in yards if he uses all 108 feet of material?

Answer 1

48 feet

Explanation:

The area around something is the perimeter and the formula for perimeter of a rectangle is:

P = 2( l + w )

You are given the perimeter and width in this problem, so you would do the inverse of everything in this problem.

108 = 2( l +6 )

108/2 = 54

54 - 6 = 48

l = 48

The length is 48 feet

Answer 2

16 yards

Explanation:

Perimeter of a rectangle is 108 ft

Breadth = 6 ft = b

Length = l

A rectangle consists of four right angles with opposite sides of equal length.

For a rectangle the perimeter is the sum of all the sides. This means as there are two lengths and breadths the,

Perimeter = 2(l +b)

⇒108 = 2(l+6)

⇒54 = (l+6)

⇒l = 54-6

⇒l = 48 ft

1 yard = 3 ft

⇒1 ft = 1/3 yards

⇒48 ft = 48×1/3

⇒48 ft = 16 yards

∴ Length of fence is 16 yards