Question

The length and breadth of a park are in the ratio 2:1 and its perimeter is 240m.
Length of the park is 1

A) 80m B) 60m C) 40m D) 65m

ii) Area of the park is 1

A) 3600m2

B) 3200m2

C) 4000m2

D) 3650m2

iii) Breadth of the park is 1

A) 60m B) 40m C) 50m D) 80m

iv) If a 2m wide path is made inside the park, then cost of paving the path at Rs80 per m2 is 1

A) Rs38000 B) Rs37120 C) Rs35400 D) R​

Answer 1

Answer:

Perimeter of the park = 240 m Wide of the path = 2 m Rate of paving the path = ₹ 80 per m2 Then, Perimeter of the park = 2 (l + b) = 240 = 2 (2x + 1x) = 240 = 2 (3x) = 240 = 6x = 240 = x = 240 /6 = x = 40 Then, The length of the park be 2x = 2 × 40 = 80 m The breadth of the park be x = 40 m Let PQRS be the given park and ABCD be the inside boundary of the path. Area of the park PQRS = (l × b) = (80 × 40) = 3200 m2 Wide of the path = 2 m Then, AB = (80 – (2 × 2)) = (80 – 4) = 76 m AD = (40 – (2 × 2)) = (40 – 4) = 36 m ∴Area of the rectangle ABCD = (76 × 36) m2 = 2736 m2 Area of the path = (Area of PQRS – Area of ABCD) = (3200 – 2736) = 464m2 Rate of paving the path = ₹ 80 per m2 ∴Total cost of paving the path of a park = ₹ (80 × 464) = ₹ 37120Read more on Sarthaks.com - https://www.sarthaks.com/753649/the-length-and-breadth-of-park-are-in-the-ratio-and-its-perimeter-is-240-path-wide-runs-inside

Answer 2

Hope it helps you

i ) C) 40m

ii ) B) 3200m^ 2

iii ) D) 80m

iv ) C) Rs 35400

please mark as brainlist..