Question

a garden is 150 m long and 120 m wife. there are two circular skating floors with radii equal to 35 m and 28 m in the garden .find the cost of covering the remaining portion of the garden with grass at rate of ₹1.25 per m square.

Answer 1

GIVEN :

DIMENSIONS OF A RECTANGULAR GARDEN :

LENGTH :

150 M

BREADTH ;

120 M

AREA OF THAT GARDEN ;

LENGTH * BREADTH

$150 \: m \: \times 120 \: m \: \\ \\ 18000 \: {m}^{2}$


THERE ARE TWO CIRCULAR SKATING FLOORS :

DIMENSIONS OF FLOORS :

RADIUS OF 1ST FLOOR :

35 M

RADIUS OF 2ND FLOOR :

28 M


AREA OF 1ST FLOOR :

$\pi \times {r}^{2} \\ \\ \frac{22}{7} \times {35}^{2} \\ \\ \frac{22}{7} \times 35 \times 35 \\ \\ 22 \times 5 \times 35 \\ \\ 110 \times 35 \\ \\ 3850 \: {m}^{2}$



AREA OF 2ND FLOOR :

$\pi \times {r}^{2} \\ \\ \frac{22}{7} \times {28}^{2} \\ \\ \frac{22}{7} \times 28 \times 28 \\ \\ 22 \times 4 \times 28 \\ \\ 112 \times 22 \\ \\ 2464 \: {m}^{2}$


AREA OF PARK WITHOUT FLOORS :

TOTAL AREA OF PARK - ( AREA OF 1ST FLOOR + AREA OF 2ND FLOOR )

$18000 - (3850 + 2464) \\ \\ 18000 - 6314 \\ \\ 11686 \: {m}^{2}$


COST OF COVERING THE REMAINING PORTION :

$1.25 \: rs \: \: per \: {m}^{2}$


COST :

AREA * RATE

11,686 * 1.25 RS

14,607.5 RS


COST FOR GRASSING THE LAND :

14,607.5 RS