A sidewalk has an area that can be represented bt the expression (8x+24) feet. List 3 possible lenghts and widths of the sidewal

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2 years ago

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1 answer:

Eddi Din [679] · Answer 1 · 2022-08-28T06:26:00+03:00

Answer:

Length = 8 feet and Width = (x+3) feet

Length = 4 feet and Width = (2x+6) feet

Length = 2 feet and Width = (4x+12) feet

Step-by-step explanation:

We are given that,

Area of the rectangular sidewalk = (8x+24) feet²

Since, area of a rectangle = Length × Width

It is required to find three possible lengths and widths.

As, we can factor the given area in the following ways,

1. Area = (8x+24) = 8 × (x+3)

2. Area = (8x+24) = 4 × (2x+6)

3. Area = (8x+24) = 2 × (4x+12)

Thus, the three possible lengths and widths are given by,

1. Length = 8 feet and Width = (x+3) feet.

2. Length = 4 feet and Width = (2x+6) feet.

3. Length = 2 feet and Width = (4x+12) feet.