Question

10. Two crossroads, each of width 5 m run at right angles through the centre of a rectangular park of length 80 m
and breadth 65 m and parallel to its sides. Find the area of the roads. Also find the cost of constructing the roads
at the rate of 130 per m​

Answer 1

$\mathbb\red{ANSWER}$

Area of Rectangular Park = Length × Breadth

= 80m × 65m

= 5200m²

Area of road EFGH = Length × Breadth

= 65m × 5m

=325 m²

Area of Road IJKL = Length × Breadth

= 80m × 5m

= 400m²

Area of Square common in two roads = 5m × 5m= 25m²

Area covered by Roads = 325m²+400m²-25m²

= 725m²-25m²

= 700m²

Cost of constructing road of 1m² =Rs130

Cost of 700m²= Rs130 × 700

= Rs91,000