The side of a rectangle are 20cm and 15cm If each side of the rectangle is increased by 20% find the percentage increase in the area
Answers
Sides 20cm and 15 cm Area = L X B = 20*15 = 300 cm^2
Side increased by 20%
20 becomes 20*1.2 = 24 cm, 15 becomes 15*1.2 = 18 cm
New Area = 24 * 18 = 432 cm^2
Increase in area = 432 - 300 = 132
% increase = 132 / 300 * 100 = 44%
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Here is the solution:
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Find the original area:
Area = Length x Breadth
Area = 20 x 15 = 300 cm²
Find the new length:
20% x 20 = 0.2 x 20 = 4 cm
New length = 20 + 4 = 24 cm
Find the new breadth:
20% x 15 = 0.2 x 15 = 3 cm
New breadth = 15 + 3 = 18 cm
Find the new area:
Area = Length x Breadth
Area = 24 x 18 = 432 cm²
Find the percentage increased:
Increase = New Area - Original Area
Increase = 432 - 300 = 132 cm²
Find the percentage increase in area:
Percentage increased = increase/original x 100
Percentage increased = 132/300 x 100 = 44%
Answer: The area is increased by 44%