20) The length of a room is 15 m and its breadth is double
its height. If the area of four walls of the room is 250 sq.m,
breadth of the room is:
A) 5 m
B) 8 m
C) 10 m
D) 19 m
Answers
Given:
The length of the room = 15 m
Breadth of room = 2* height
Area of the 4 walls = 250 sq. m
To find:
The breadth of the room.
Solution:
Area of four walls = 2* length*height + 2*breadth*height
Height h can be written as half of breadth = b/2
250 = 2*15* (b/2) + 2* b * (b/2)
250 = 15b + b²
b² + 15b -250 = 0
b² + 25b - 10b -250 = 0
b(b+25) -10(b+25) = 0
(b+25) (b-10) = 0
b= -25 and b=10
Taking the positive value, breadth of the room is b = 10 m
Breadth of the room is 10 m, therefore the correct option is (C).
Given : The length of a room is 15 m and its breadth is double its height. the area of four walls of the room is 250 sq.m,
To Find : breadth of the room
A) 5 m
B) 8 m
C) 10 m
D) 19 m
Solution:
breadth of the room = B m
Height of room = B/2 m
length of a room is 15 m
Area of 4 walls = 2(l + b) h
= 2(15 + B) B/2 = 250
=> B² + 15B = 250
=> B² + 25B - 10B - 250 = 0
=> (B + 25)(B - 10) = 0
=> B = 10 as B can not be negative
Breadth = 10m
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