Question 149

Radius of a circular garden is 7 metre more than length of a rectangle whose perimeter is 364 metre and breadth is 84 metre. What will be cost of fencing the garden (only at the circumference), if the cost of fencing is Rs. 8 per metre ?

Solution

Perimeter of rectangle = 364 metre

=> $$2 (l + b) = 364$$

=> $$l + 84 = \frac{364}{2} = 182$$

=> $$l = 182 - 84 = 98$$ metre

$$\therefore$$ Radius of circular garden = 98 + 7 = 105 metre

Circumference of garden = $$2 \pi r$$

= $$2 \times \frac{22}{7} \times 105$$

= $$30 \times 22 = 660$$ metre

$$\therefore$$ Cost of fencing = $$660 \times 8$$

= Rs. $$5,280$$

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