Question

Two pathways parallel to the length and breadth have been constructed in the Centre of a rectangular park. Whose length is 125 m. and breadth is 95 m. If width of each parthway is 10 metre. Find out:

(i) expenditure on putting soil on the pathway at the rate of ? 80 per square meter.

(ii) area of putting grass excluding the paths.

Answer 1

(1) Let A BCD and EFGH are perpendicular path

AB = 125 m

BC = 10 m

∴ Area of ABCD

= 125 x 10

= 1250 sq. m

∴ Again EF = 95 m

and FG = 10 m

∴ Area of EFGH = 95 x 10

= 950 sq. m

PQRS is common area in both the paths

∴ Area of PQRS = 10 x 10 = 100 sq. m

Area of both paths = Area of ABCD + Area of EFGH – Area of PQRS

= (1250 + 950 – 100) = (2200 – 100)

= 2100 sq. m

Expenditure on putting soil on 1 m² = ₹80

Expenditure on putting soil on 2100 sq. m = 2100 x 80 = ₹1,68,000

(2) Area of rectangular park

= 125 x 95 = 11875 sq. m

Area of putting grass = Area of LMNO – Area of both paths

= 11875 – 2100 = 9775 sq. m