The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it's square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is
Options:
A . 30m
B . 40m
C . 50m
D . 60m
Answer: Option C
Each side of the square = 160/4m =40 cm 2(l+b) = 160 => (l+b) = 80 (40) 2 “lb = 100 => lb =(1600 - 100) = 1500 (l-b) 2 = (l+b) 2 “ 4lb = (80) 2 -4 x 1500 =(6400 -6000) = 400 (l-b) = 20 Therefore, l+b = 80, l-b =20 => 2l =100 => l= 50m
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