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morpeh [17]
3 years ago
5

Jason has 144 feet of material to build a fence around a rectangular garden on his property. If the width of the fence must be 9

feet, what is the length of the fence in yards if he uses all 144 feet of material?
126 yards
63 yards
42 yards
21 yards
Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

Answer:

Option D is the correct answer.

Step-by-step explanation:

Jason has 144 feet of material to build a fence around a rectangular garden on his property.

Total material with Jason = 144 feet

Perimeter of rectangle = 144 feet

Perimeter of rectangle = 2 x ( length + width )

2 x ( length + width ) = 144

length + width = 72

Given that width is 9 feet

Substituting

            length + 9 = 72

            length = 63 feet

1 yard = 3 feet

              length = 63 feet = 21 yards

Option D is the correct answer.

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Then, the area of both squares have x as common factor.

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You should know how to calculate the greatest common factor of two integers.

Just find the prime factors and choose the common factors raised to the lowest exponent.

104 = (2^3) (13)

130 = (2) (5)(13)

=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.

Answer: 26



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