A circular wire of length 168 text{ cm} is cu | vedclass

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

Question

(D) The total length of the wire is the perimeter of the rectangle,which is $168 	ext{ cm}$.Let the sides of the rectangle be $5x$ and $7x$.The perim

Vedclass · Accepted Answer

$\sqrt{3626}$

Vedclass · Answer

(D) The total length of the wire is the perimeter of the rectangle,which is $168 	ext{ cm}$.Let the sides of the rectangle be $5x$ and $7x$.The perimeter of a rectangle is given by $2(L + b) = 168$.$2(5x + 7x) = 168$$2(12x) = 168$$24x = 168$$x = 168 / 24 = 7$.Thus,the length $L = 5 	imes 7 = 35 	ext{ cm}$ and the breadth $b = 7 	imes 7 = 49 	ext{ cm}$.The diagonal of the rectangle is given by $\sqrt{L^2 + b^2}$.Diagonal $= \sqrt{35^2 + 49^2} = \sqrt{1225 + 2401} = \sqrt{3626} 	ext{ cm}$.

$A$ circular wire of length $168 \text{ cm}$ is cut and bent in the form of a rectangle whose sides are in the ratio of $5:7$. What is the length (in $\text{cm}$) of the diagonal of the rectangle?

Similar Questions

The perimeter of a non-square rhombus is $20 \, cm$. One of its diagonals is $8 \, cm$. The area of the rhombus is.........$cm^2$

$A$ circle and a rectangle have the same perimeter. The sides of the rectangle are $18 \, cm$ and $26 \, cm$. What is the area of the circle? (in $cm^2$)

$A$ rectangular carpet has an area of $120 \, m^{2}$ and a perimeter of $46 \, m$. The length of its diagonal is ...... $m$.

If the perimeter of a semi-circular protractor is $36 \, cm$,then its diameter is ...... $cm$?

The length and breadth of a rectangle are increased by $10 \%$ and $20 \%$ respectively. What will be the percentage increase in the area of the rectangle (in $\%$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module