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If the length of a rectangular plot of land is increased by 5% and the breadth decreased by 10% by how much will its area change?
- a)increase by 5.5%
- b)decrease by 5.5%
- c)decrease by 0.55%
- d)No change
Correct answer is option 'B'. Can you explain this answer?
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If the length of a rectangular plot of land is increased by 5% and the...
Required change in area
Negative sign show decrease
Negative sign show decrease
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If the length of a rectangular plot of land is increased by 5% and the...
Calculation of Area Change:
- Let the original length of the rectangular plot be L and the original breadth be B.
- The new length after increasing by 5% will be 1.05L, and the new breadth after decreasing by 10% will be 0.9B.
- The original area of the plot is given by A = L*B, and the new area is given by A' = 1.05L * 0.9B = 0.945LB.
Calculating the Change in Area:
- The change in area can be calculated by finding the difference between the new area and the original area.
- Change in area = A' - A = 0.945LB - LB = -0.055LB.
Interpreting the Change:
- The negative sign indicates a decrease in area.
- We can find the percentage change by dividing the change in area by the original area and multiplying by 100.
- Percentage change = (-0.055LB / LB) * 100 = -5.5%.
Therefore, the area of the rectangular plot will decrease by 5.5% after increasing the length by 5% and decreasing the breadth by 10%.
- Let the original length of the rectangular plot be L and the original breadth be B.
- The new length after increasing by 5% will be 1.05L, and the new breadth after decreasing by 10% will be 0.9B.
- The original area of the plot is given by A = L*B, and the new area is given by A' = 1.05L * 0.9B = 0.945LB.
Calculating the Change in Area:
- The change in area can be calculated by finding the difference between the new area and the original area.
- Change in area = A' - A = 0.945LB - LB = -0.055LB.
Interpreting the Change:
- The negative sign indicates a decrease in area.
- We can find the percentage change by dividing the change in area by the original area and multiplying by 100.
- Percentage change = (-0.055LB / LB) * 100 = -5.5%.
Therefore, the area of the rectangular plot will decrease by 5.5% after increasing the length by 5% and decreasing the breadth by 10%.
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If the length of a rectangular plot of land is increased by 5% and the breadth decreased by 10% by how much will its area change?a)increase by 5.5%b)decrease by 5.5%c)decrease by 0.55%d)No changeCorrect answer is option 'B'. Can you explain this answer?
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