Question

A garden is 150 m long and 120 m wide.
There are two circular skating floors
with radii equal to 35 m and 42 m in the
garden. Find the cost of covering the
remaining portion of the garden with
grass at the rate of 1.25 per m².​

Answer 1

Answer:

₹ 10757.5

Step-by-step explanation:

Area of garden = l x b

                          = 150 x 120

                          =18000 $m^{2}$

Area of first circular skating floor = $\pi$$r^{2}$

                                                       = $\frac{22}{7}$ x 35 x 35

                                                       =3850 $m^{2}$

Area of second circular skating floor = $\pi r^{2}$

                                                             =$\frac{22}{7}$ x 42 x 42

                                                             =5544 $m^{2}$

Area of garden left = Total area of garden - Sum of area of two circular skating floors

Area = 18000 - (3850 + 5544) $m^{2}$

Area = 18000 - 9394 $m^{2}$

∴ Area = 8606 $m^{2}$

Cost of covering the remaining portion of garden with grass :

⇒Area of remaining portion x cost of covering with grass

⇒8606 $m^{2}$ x ₹1.25

⇒ ₹ 10757.5

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