The length of rectangular field is increased by 50percent and its breadth decreased by 50percent to form a new rectangular field. find the percentage change in the area of the field
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Let the length and width be a and b
Area = ab
New length = a + a/2 = 3a/2
New width = b - b/2 = b/2
New area = 3a/2 × b/ 2
= 3ab/4
Increase in area = ab - 3ab/4
= ab / 4
Percentage of increase = (ab / 4) × 100/ ab
= 100 /4
= 25%
Area = ab
New length = a + a/2 = 3a/2
New width = b - b/2 = b/2
New area = 3a/2 × b/ 2
= 3ab/4
Increase in area = ab - 3ab/4
= ab / 4
Percentage of increase = (ab / 4) × 100/ ab
= 100 /4
= 25%
Answered by
0
Let the length and width be a and b
Area = ab
New length = a + a/2 = 3a/2
New width = b - b/2 = b/2
New area = 3a/2 × b/ 2
= 3ab/4
Increase in area = ab - 3ab/4
= ab / 4
Percentage of increase = (ab / 4) × 100/ ab
= 100 /4
= 25%
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