Vivek wanted to renovate his bare lawn of dimensions 15 length and 27m wide. He bought a certain number of green grass strips, each with area 0.4444m2 and used them to partially cover the floor of thte lawn. The area of this covered portion was an integer. What is the ratio of the covered area to the non-covered portion of the lawn.If the max. possible area was covered with strips? a)2.1 b)9.1 c)674.1 d)67.2
Answers
Given : Vivek wanted to renovate his bare lawn of dimensions 15 length and 27m wide. He bought a certain number of green grass strips, each with area 0.4444m2 and used them to partially cover the floor of the lawn .
The area of this covered portion was an integer
To Find : What is the ratio of the covered area to the non-covered portion of the lawn.If the max. possible area was covered with strips
Solution:
Each grass strip Area = 0.4444 m²
= 4444/10000
= 1111/2500
= 11 * 101 / ( 2 * 2 * 5 * 5 * 5 * 5 )
no Common Factors
Hence
minimum possible integer area = 1111 m²
Lawn Dimensions = 15 * 27 = 405 m²
Hence its not possible to cover part of lawn with integer area
Hence there is mistake in Data
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