Geometric Proportions | MCQs

Explanation

The sum of the ratio parts is 4 + 6 = 10.

Explanation

Given:

x : y = 3 : 4

y : z = 6 : 7

To combine, equalize y in both ratios (LCM of 4 and 6 is 12):

x : y = 9 : 12

y : z = 12 : 14

Combine to get: x : y : z = 9 : 12 : 14

Explanation

Explanation

• 1. The ratio of length to breadth is 3:2. Let's assume the length is 3x and the breadth is 2x.
• 2. The perimeter of the rectangular park is 2(3x + 2x) = 10x.
• 3. The man completes one round in 8 minutes at a speed of 12 km/hr. Convert the speed to meters per minute:

12 km/hr = 12,000 m/60 min = 200 m/min

• 1. The distance covered in 8 minutes is:

200 m/min × 8 min = 1600 m
Since the man completes one round, the perimeter of the park is 1600 m:
10x = 1600
x = 160
Now, find the length and breadth:
Length = 3x = 3 × 160 = 480 m
Breadth = 2x = 2 × 160 = 320 m
Finally, calculate the area:
Area = Length × Breadth = 480 × 320 = 153,600 sq. m