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 f
eet, what is the length of the fence in yards if he uses all 108 feet of material?
2 answers:
Answer:
48 feet
Step-by-step 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:
16 yards
Step-by-step 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
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Step-by-step explanation:
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