If the sides of a rectangle are increased by | vedclass

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

Question

(C) Let the length of the rectangle be $L$ and its width be $B$. The original perimeter is $P_1 = 2(L + B)$.When the sides are increased by $20 \%$,th

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(C) Let the length of the rectangle be $L$ and its width be $B$. The original perimeter is $P_1 = 2(L + B)$.When the sides are increased by $20 \%$,the new length becomes $L' = L + 0.2L = 1.2L$ and the new width becomes $B' = B + 0.2B = 1.2B$.The new perimeter is $P_2 = 2(L' + B') = 2(1.2L + 1.2B)$.Simplifying this,we get $P_2 = 2 	imes 1.2(L + B) = 2.4(L + B)$.The increase in perimeter is $\Delta P = P_2 - P_1 = 2.4(L + B) - 2(L + B) = 0.4(L + B)$.The percentage increase in perimeter is $\frac{\Delta P}{P_1} 	imes 100 = \frac{0.4(L + B)}{2(L + B)} 	imes 100 = 0.2 	imes 100 = 20 \%$.

If the sides of a rectangle are increased by $20 \%$,the percentage increase in its perimeter is

Similar Questions

The area of a trapezium is $2500 \, m^2$. One of its parallel sides is $75 \, m$. If the distance between the two parallel sides is $40 \, m$,then find the length of the other parallel side in $m$.

The area of a rectangle is $460 \, m^2$. If the length is $15 \%$ more than the breadth,what is the breadth of the rectangular field? (in $metres$)

An error of $2 \%$ in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is.....$\%$

$A$ wire is in the form of a semi-circle of $7 \, cm$ radius. The length of the wire will be (in $cm$):

The area of the largest circle that can be drawn inside a rectangle with sides $18 \, cm$ and $14 \, cm$ is (in $cm^2$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module