Mensuration Practice Test 10

Question : 19 of 40

Marks: +1, -0

The carpeting of a room that is twice as longas its breadth at the rate of 50 p per sq. m costs Rs 12.25 and the cost of painting its walls at the rate of 9 p per sq. m is Rs 6.30. Find the height of the room.

7 m
$3 1/8$ m
$4 1/3$ m
None of these

Validate

Solution:

Let breadth = x
then length = 2x
Area of floor =

{1225}/{50}

x × 2x = 24.5

2x^2

= 24.5

x^2

= 12.25
Breadth = 3.5 m
Length = 7m
Area of 4 walls = 2(l + b)× h
=

{630}/9

= 2 (3.5 + 7) × h
70 = 2(10.5)× h

{35}/{10.5}

= h
h = 3.34m

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