Mr. Singh's and Mrs. Jackson's gardens are separated by a fence. The area of Mr. Singh's garden is 36m, and the area of Mrs. Jackson's garden is 20m. What is the greatest length the fence could be?
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Answer:
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Given : Mr. Singh's and Mrs. Jackson's gardens are separated by a fence.
The area of Mr. Singh's garden is 36m², and the area of Mrs. Jackson's garden is 20m².
To Find : What is the greatest length the fence could be?
Solution:
Let say L is the length of fence :
The area of Mr. Singh's garden is 36m²
L * W₁ = 36
W₁ = Width of Mr. Singh's garden
area of Mrs. Jackson's garden is 20m².
L * W₂ =20
W₂ = Width of Mr. Jackson's garden
Assumptions : Garden are in rectangular shape
and side lengths are integral values
L * W₁ = 36
L * W₂ =20
=> L is the HCF of ( 20 , 36) for the greatest length of the fence
20 = 2 * 2 * 5
36 = 2 * 2 * 3 * 3
HCF = 2 * 2 = 4
greatest length the fence could be = 4 m
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