Jamie wants to build a rectangular fence around a new garden. He can afford at most 70
feet of fencing, and must fit the garden in a space that is 10 feet by 12 feet. Could the garden
measure 9 feet by 22 feet? Why or why not?
A Yes, (9, 22) is a solution to the inequalities and the measurements will fit in the space.
B. Yes, (9,22) is a solution to the systems of equations.
C. No, (9, 22) is not a solution to the systems of equations.
D. No, (9, 22) is a solution to the system inequalities, but 22 feet is too long to fit into the space.
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Question

04-10-2021
Mathematics

Answered

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Jamie wants to build a rectangular fence around a new garden. He can afford at most 70
feet of fencing, and must fit the garden in a space that is 10 feet by 12 feet. Could the garden
measure 9 feet by 22 feet? Why or why not?
A Yes, (9, 22) is a solution to the inequalities and the measurements will fit in the space.
B. Yes, (9,22) is a solution to the systems of equations.
C. No, (9, 22) is not a solution to the systems of equations.
D. No, (9, 22) is a solution to the system inequalities, but 22 feet is too long to fit into the space.
to

Sagot :

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abidemiokin abidemiokin · Answer 1 · 2021-10-06T06:32:53-04:00

Option B is correct. Yes, (9, 22) is a solution to the inequalities and the measurements will fit in the space.

The formula for calculating the perimeter of the rectangular fence is expressed as:

A = 2(L + W) where:

L is the length

W is the width

If Jamie can afford at most 70feet to build a rectangular fence is expressed as:

2L + 2W ≤ 70

We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70

On substituting:

= 2(9) + 2(22)

= 18 + 44

= 62 feet

Since 63 feet is less than 70 feet, hence we can conclude that Yes, (9, 22) is a solution to the inequalities and the measurements will fit in the space.

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