What is the percentage increase in the area of a rectangle, if each of its sides is increased by

What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20 % ?

Answer/Solution

44%

Steps/Work

(20+20+ 20*20/100)% = 44%
AREA INCREASED BY 44%
THEN ORIGINAL AREA 10*10 =100
LENGTH IS INCRESED BY 20% NEW LENGTH = 10+2 =12
BREADTH IS INCREASED 20% NEW BREADTH = 10 + 2 -12
NEW AREA = 12 * 12 = 144
INCREASE IN AREA 144 - 100 =44
PERCENTAGE INCREASE IN AREA = INCREASE IN AREA / ORIGINAL AREA = 44/100 * 100 = 44
ANSWER B

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What is the percentage increase in the area of a rectangle, if each of its sides is increased by %?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate ((n₀ + 100) * (n₀ + 100) - 100 * 100) / 100.

n₀ =	20

((n₀ + 100) * (n₀ + 100) - 100 * 100) / 100
Evaluate n₀ + 100 = 120
(120 * (n₀ + 100) - 100 * 100) / 100
Evaluate n₀ + 100 = 120
(120 * 120 - 100 * 100) / 100
Evaluate 120 * 120 = 14400
(14400 - 100 * 100) / 100
Evaluate 100 * 100 = 10000
(14400 - 10000) / 100
Evaluate 14400 - 10000 = 4400
4400 / 100
Evaluate 4400 / 100 = 44
44
The answer to the problem and the result of ((n₀ + 100) * (n₀ + 100) - 100 * 100) / 100 is 44

Quiz

Answer/Solution

Steps/Work

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Calculated Answer

Step by Step Solution