jeromemurphyiv0709
jeromemurphyiv0709 jeromemurphyiv0709
  • 24-01-2020
  • Mathematics
contestada

A rectangular bathroom mirror has a perimeter of 22 feet and an area of 24 square feet. What are the dimensions of the mirror?

feet by
feet

A rectangular bathroom mirror has a perimeter of 22 feet and an area of 24 square feet What are the dimensions of the mirror feet by feet class=

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jpmexican jpmexican
  • 26-01-2020

Answer:

3*8

Step-by-step explanation:

The side lengths are integer, so we have to find the factors of 24.

They are : 1, 2, 3, 4, 6, 8, 12, 24

Then we have to find a pair of factors that multiply to get 24, and add up to get 11. They have to add up to 11 because the length plus the width should be half of the perimeter. in our case, the perimeter is 22, so the width plus the length should equal 11. The only two factors that satisfy these conditions are 3 and 8

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