Question

the ratiobetween the length and thebreadth of a rectangular park is 3:2. if a man cyclong, along the boundry of the patk at the speed of 12km/hr. ​

Answer 1

Correct Question:

The ratio between the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park.

Answer:

• The area of the park = 153.6 km

Given:

• Ratio between the length and breadth of a rectangular park is 3 : 2.
• Speed :- 12 km/hr
• Time :- 8 min

To Find:

• Area of the park.

Solution:

Perimeter = Distance covered in 8m

Distance = speed × time

→ 12 × 8/60

→ 1.6km

Now,

→ 2(Length + Breadth) = Distance

→ 2(3a+2a) = 1.6km

→ 2(5a) = 16×100m

→ 10a = 1600

→ a = 1600/10

→ a = 160m

Then,

• Length = 3a = 3 × 160 = 480 m
• Breadth = 2a = 2 × 160 = 320 m

So,

★Area of the rectangle = Length ×Breadth

→ 480 × 320

→ 153600 m

→ 153.6 km

∴ The area of the park = 153.6 km.

Hence,

• Area of the park = 153.6 km