Question 106
A rectangle of length l meters and breadth 50 meters has an area which is equal to the area of a square with 90 meters diagonal. Then l =
Solution
Given, diagonal length of the square = 90 m
Side of the square = $$\frac{90}{\sqrt{2}}$$ m
Area of the square = $$\left(\frac{90}{\sqrt{2}}\right)^2$$ = 90 x 45 m$$^2$$
Area of rectangle = Area of square
$$\Rightarrow$$ l x 50 = 90 x 45
$$\Rightarrow$$ l = 81 m
Hence, the correct answer is Option D
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