The length of a rectangular hall is frac{4}{3 | vedclass

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

Question

(D) Let the breadth of the rectangular hall be $x \, m$.According to the problem,the length is $\frac{4}{3}$ of its width,so length $= \frac{4x}{3} \,

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(D) Let the breadth of the rectangular hall be $x \, m$.According to the problem,the length is $\frac{4}{3}$ of its width,so length $= \frac{4x}{3} \, m$.The area of a rectangle is given by $	ext{length} 	imes 	ext{breadth} = 	ext{Area}$.Substituting the values: $\frac{4x}{3} 	imes x = 300$.$\frac{4x^2}{3} = 300$.$x^2 = 300 	imes \frac{3}{4} = 75 	imes 3 = 225$.$x = \sqrt{225} = 15 \, m$.So,the breadth is $15 \, m$.The length is $\frac{4}{3} 	imes 15 = 20 \, m$.The difference between the length and the breadth is $20 \, m - 15 \, m = 5 \, m$.

The length of a rectangular hall is $\frac{4}{3}$ of its width. If the area of the hall is $300 \, m^2$,what is the difference between the length and the breadth? (in $m$)

Similar Questions

The sum of the circumference of a circle and the perimeter of a square is equal to $272 \, cm$. The diameter of the circle is $56 \, cm$. What is the sum of the areas of the circle and the square? (in $cm^2$)

If the length of a rectangle is increased by $10 \%$ and its breadth is decreased by $10 \%,$ then its area

The area of a quadrilateral is $420 \, m^{2}$ and the perpendiculars drawn to one diagonal from the opposite vertices are $18 \, m$ and $12 \, m$. Then,the length of the diagonal is......$m$

$A$ circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular path is $132 \, m$. Its width is.....$m$.

If the length and breadth of a rectangular plot are increased by $50 \%$ and $20 \%$ respectively,then the new area is how many times the original area?

Vedclass Test Series

Exam Paper Generator

Online Exam Module