7. Lakeisha is designing a rectangular sunroom. She wants the room to be 14 feet wide and have a perimeter that is greater than 108 feet. Select all of the possible lengths of lakeisha’s sunroom. A. 14 feet b. 27 feet c. 40 feet d. 54 feet e. 60 feet

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LouisLife LouisLife · Answer 1 · 2018-10-04T08:00:51+02:00

Answer is D and E

D : 14+14+54+54
=136 which is the perimeter is greater than 108

E: 14+14+60+60
=148 also is the greater perimeter than 108

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adioabiola adioabiola · Answer 2 · 2021-10-12T12:38:41+02:00

We are required to find all the possible length of lakeisha’s sunroom

The possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet

perimeter of a rectangle = 2(length + width)

perimeter > 108 feet

Width of the sunroom = 14 feet

The inequality:

2(x + 14) > 108

2x + 28 > 108

2x > 108 - 28

2x > 80

divide both sides by 2

x > 80 / 2

x > 40 feet

Therefore, the possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet