Question
The area of a rectangle is 5/7 that of a square. The
length of the rectangle is 20 cm and the breadth of the rectangle is 3/2 times that of the side of the square. The side of the square, (in cm) isSolution
Using the formula, Area = Length x Breadth & Area = side² = a² Side of a square = a cm Therefore, Area of rectangle = 5/7 x area of square ⇒ 20 x (3/2) x a = 5/7 x a² ⇒ a = (20 x 7 x 3)/(5 x 2) ⇒ a = 42 cm
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