Mensuration Practice Test 4

Question : 19 of 40

Marks: +1, -0

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/h completes one round in 8 minute, then the area of the park in sq. m is:

15,360
1,53,600
30,72015
3,07,200

Validate

Solution:

l = 3x
b = 2x
Distance =

{12×8}/{60}

8/5

km
Perimeter of rectangle = 2(l + b)

8/5

= 2 (3x + 2x)

8/5

= 10x
x =

8/5 × 1/{10}

8/{50}

x =

8/{50} × 1000

x = 160
l = 3x = 3×160 = 480 m
b = 2x = 2 ×160 = 320 m
Area = l × b
= 480 × 320
= 1,53,600

m^2

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