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Mathematics : asked on nancyrj3824
 14.04.2023

Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10 feet.

Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular

wall?



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Step-by-step answer

24.06.2023, solved by verified expert
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Ranjana Bhatt
p PhD
Chemistry, Q&A Expert
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Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

Step-by-step explanation:

Given

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

Required

Represent the width as an inequality

First, we represent the area as an inequality.

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

max as used above means less than or equal to.

So, we have:

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

The area of a rectangle is:

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

So, we have:

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

Substitute 10 for L

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

Divide both sides by 10

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

Mario is constructing a wall around a rectangular, №17887829, 14.04.2023 14:03

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Mathematics
Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10 feet. Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular wall? 
Step-by-step answer
P Answered by PhD

W \le 6

Step-by-step explanation:

Given

Area = 60ft^2\ (max)

Length = 10ft

Required

Represent the width as an inequality

First, we represent the area as an inequality.

Area = 60ft^2\ (max)

max as used above means less than or equal to.

So, we have:

Area \le 60

The area of a rectangle is:

Area = L * W

So, we have:

L * W \le 60

Substitute 10 for L

10 * W \le 60

Divide both sides by 10

\frac{10 * W}{10} \le \frac{60}{10}

W \le \frac{60}{10}

W \le 6

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No of choices= 5*9

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