Question
A lawn in the shape of a rectangle has an area of 7260
m² and its sides are in the ratio 5: 3. Its perimeter is equal to the perimeter of a circular garden. What is the area of the circular garden? (Taken = π = 22/7)Solution
Ratio of rectangle sides =5:3 Sides =5x and 3x Area of rectangle =5x×3x 7260=15x2 x2=7260/15=484 x= 22. Now perimeter of rectangle =2(5x +3x) =16x =16 × 22 perimeter of rectangle =352m ATQ- perimeter of rectangle =circumference of circle 2πr =352 2×22/7×r =352 r = 352×7)/44 r=56m. area of the circular garden = πr² =22/7 ×56×56 =9856m²
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