Question 93

The area of a square is 1444 square metres. The breadth of a rectangle is 1/4th the side of the square and the length of the rectangle is thrice the breadth. What is the difference between the area of the square and the area of the rectangle?

Solution

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Side = $$\sqrt{1444}$$ = 38 
Breadth of rectangle = $$\frac{1}{4}$$th of 38 = 9.5
Length = thrice of breadth = 28.5
Area of rectangle =  9.5 x 28.5 = 270.75
Difference = 1173.25 m2

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