Question : The length and the breadth of a rectangle are increased by 15% and 10%, respectively. What is the percentage increase in the area of the rectangle?
Option 1: 25%
Option 2: 26.5%
Option 3: 27.5%
Option 4: 26%
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Correct Answer: 26.5%
Solution : Given, Length and breadth have been increased by 15% and 10% respectively. We know, Percentage increase in the area = $x + y + \frac{xy}{100}$ Where, $x$ = Percentage increase in Length $y$ = Percentage increase in Breadth ⇒ Percentage increase in area $= [15 + 10 + \frac{15 × 10}{100}]\%=[25 + 1.5]\%= 26.5\%$ Hence, the correct answer is 26.5%.
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Question : If the length of a rectangle is decreased by 13% and the breadth is increased by 13%, find the change of percentage in its area.
Option 1: 1.69% decrease
Option 2: 1.69% increase
Option 3: No change
Option 4: 13% decrease
Question : The ratio of the length to the width of a rectangle is 3 : 2. If the length of this rectangle is increased by 25% and its width is kept constant, then the area of the rectangle increases by 24 m2. What is the width of this rectangle?
Option 1: 12 m
Option 2: 10 m
Option 3: 8 m
Option 4: 15 m
Question : Each side of a square is increased by 10%. The percentage increase in its area is:
Option 1: 25
Option 2: 12.5
Option 3: 20
Option 4: 21
Question : The radius of a circle is increased by 10%. The percentage increase in its area is:
Option 1: 10%
Option 2: 11%
Option 3: 20%
Option 4: 21%
Question : The perimeter of a rectangle is 68 cm. If the area of the rectangle is 240 cm2, then what is the length of each of its diagonals?
Option 1: 25 cm
Option 2: 27 cm
Option 3: 26 cm
Option 4: 28 cm
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