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yan [13]
3 years ago
10

The width of a fenced yard is 6 yards less than the length. And the perimeter is less than it equal to 72 yards. Write the inequ

ality (simplified) that u would use to solve for the dimensions of the fence.
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Answer:

Length = 21 yards

Width = 15 yards

Step-by-step explanation:

Let

Length = x

Width = x - 6

Perimeter ≤ 71 yards

Perimeter of a rectangle = 2 (length + width)

72 ≤ 2(x + x-6)

72 ≤ 2 (2x - 6)

72 ≤ 4x - 12

72 + 12 ≤ 4x

84 ≤ 4x

x ≤ 84/4

x ≤ 21

Length = x = 21 yards

Width = x - 6

= 21 - 6

= 15 yards

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Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 +  - 4x +  - 5 = 0

Reorder the terms:
- 5 +  - 4x + x^2 = 0

Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 +  - 1x) equal to Zero and attempt to solve.

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- 1 +  - 1x = 0

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Move all terms containing x to the left, all other terms to the right

Add 1 to each side of equation:
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Combine Like Terms: 0 + 1 = 1
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Divide each side by - 1
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Simplifying:
5 +  - 1x = 0

Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 +  - 5  +  - 1x = 0 + 5

Combine Like terms:  5 +  - 5 = 0
0 +  - 1x = 0 +  - 5
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Combine Like Terms: 0 +  - 5 = - 5
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Divide each side by - 1
x = 5

Simplifying:
x = 5

Solution:
x = { - 1,  5}





Answer when factored:
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hope that helps!!!
4 0
3 years ago
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6 0
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Substituting 9/2 for the value of m

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