The ratio of the areas of a rectangle and a square is 24:25. If the perimeter of
each is 80 units, find the dimensions of the rectangle
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Step-by-step explanation:
area of rect/area of sqr=24/25
perimeter of rect=2(l+b)=80
l+b=40
perimeter of sqr= 4l=80
l=20
area of sqr= l*l=20*20=400
area of rect/400=24/25
area of rect =384
l+b=40
l=40-b
area of rect= (40-b)*b=384
b²-40b+384=0
b(b-16)-24(b-16)=0
b=16 or 24
l=24 or 16
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