The width of Jana's rectangular classroom is 1 meter more than 1/4 of its length. If the perimeter of the classroom is 24 meters, what is the length?

Question

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Answer 1

 

2L + 2w = perimeter

 

2L+ 2 ( 1/4 L + 1) = 24

 

2L + 1/2L + 2 = 24

 

5/2L = 22

 

5L = 44

 

L = 44/5 = 8 and 4/5 = 8.8

 

width is 1/4(8.8)+1 = 2.2+1 = 3.2

 

The perimeter is 2(3.2) +2(8.8) = 6.4 + 17.6 = 24

 

Area is 3.2 * 8.8 = 28.16