If the length of a rectangle is increased by | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the original length be $L$ and the original breadth be $B$. The original perimeter is $P_1 = 2(L + B)$.After the changes,the new length $L' =

Vedclass · Accepted Answer

$	ext{Cannot be determined}$

Vedclass · Answer

(D) Let the original length be $L$ and the original breadth be $B$. The original perimeter is $P_1 = 2(L + B)$.After the changes,the new length $L' = 1.2L$ and the new breadth $B' = 0.9B$.The new perimeter is $P_2 = 2(1.2L + 0.9B) = 2.4L + 1.8B$.The change in perimeter is $\Delta P = P_2 - P_1 = (2.4L + 1.8B) - (2L + 2B) = 0.4L - 0.2B$.The percentage change in perimeter is $\frac{0.4L - 0.2B}{2(L + B)} 	imes 100 = \frac{0.2L - 0.1B}{L + B} 	imes 100$.Since the result depends on the ratio of $L$ to $B$,the percentage change cannot be determined without knowing the initial dimensions of the rectangle.

If the length of a rectangle is increased by $20 \%$ and its breadth is decreased by $10 \%$,what will be the impact on its perimeter?

Similar Questions

The price of sugar has fallen by $10 \%$. How many quintals can be bought for the same money which was sufficient to buy $18$ quintals at the higher price?

The difference between a discount of $35 \%$ and two successive discounts of $20 \%$ and $20 \%$ on a certain bill was ₹ $22$. Find the amount of the bill.

$860 \%$ of $50 + 50 \%$ of $860 = ?$

The price of an article was increased by $r \%$. Later,the new price was decreased by $r \%$. If the latest price was $₹ 1$,then the original price was:

The population of a town increases $4 \%$ annually but is decreased by emigration annually to the extent of $(1/2) \%$. What will be the increase per cent in $3$ years?

Vedclass Test Series

Exam Paper Generator

Online Exam Module