The perimeter of a rectangle is less than 10 inches. The length is x and the width is x - 5. If the solution is x<5, ThEn the length is less than 5. Is this viable solution.A. ViableB. Non - viable

Question

03-11-2022
Mathematics

contestada

The perimeter of a rectangle is less than 10 inches. The length is x and the width is x - 5. If the solution is x<5, ThEn the length is less than 5. Is this viable solution.A. ViableB. Non - viable

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EvenQ345701 EvenQ345701 · Answer 1 · 2022-11-03T20:03:10+01:00

Problem

The perimeter of a rectangle is less than 10 inches. The length is x and the width is x - 5. If the solution is x<5, ThEn the length is less than 5. Is this viable solution.

Solution

For this case the perimete rof a rectangle is given by:

P= 2x+2y

x= lenght y = width

And we also know that y= x-5

And replacing the condition given: P<10 we got:

2x +2y <10

2x +2(x-5)<10

4x -10 >10

And we can rewrite as:

4x >20

x>5

So then the best answer would be:

B. non viable