Q.45) A carpenter has 32 metres of timber and wants to make a border around a garden. She is
considering the following design for the garden. Border to garden for which all designs can be made
with 32 metres of timber. (4 marks)
A
B
6 m
6 m
10 m
10 m
с
D
6 m
6 m
10 m
10 m
A) A, B,C & D
B) A, C & D
C) A & B
D) A, B &C
Answers
Answer:
Answer is B
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Given : carpenter has 32 metres of timber and wants to make a border around a garden. 4 Designs are given
To Find : which all designs can be made
Solution:
For Design A - Vertical height = 6 m
Horizontal Distance = 10 m
Total Perimeter = 2 ( 6 + 10) = 32 m
Design A can be made
For Design B
Horizontal Distance = 10 m
Vertical height > 6 m as perpendicular height is 6 m
( perpendicular height is shortest distance )
Hence side > 6 m
so total perimeter > 32 m
Hence Design B can not be made
For Design C - Vertical height = 6 m
Horizontal Distance = 10 m
Total Perimeter = 2 ( 6 + 10) = 32 m
Design C can be made
For Design D - Vertical height = 6 m
Horizontal Distance = 10 m
Total Perimeter = 2 ( 6 + 10) = 32 m
Design D can be made
A , C & D can be made
option B is correct
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