The difference between two parallel sides of | vedclass

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

Question

(C) Let the parallel sides of the trapezium be $l_1$ and $l_2$,where $l_1 > l_2$.Given that the difference between the parallel sides is $4\, cm$,so $

Vedclass · Accepted Answer

$27\, cm, 23\, cm$

Vedclass · Answer

(C) Let the parallel sides of the trapezium be $l_1$ and $l_2$,where $l_1 > l_2$.Given that the difference between the parallel sides is $4\, cm$,so $l_1 - l_2 = 4$,which implies $l_1 = l_2 + 4$.The perpendicular distance (height) between the parallel sides is $h = 19\, cm$.The area of a trapezium is given by the formula: $	ext{Area} = \frac{1}{2} 	imes (l_1 + l_2) 	imes h$.Substituting the given values: $475 = \frac{1}{2} 	imes (l_2 + 4 + l_2) 	imes 19$.$475 = \frac{19}{2} 	imes (2l_2 + 4)$.$475 = 19 	imes (l_2 + 2)$.$l_2 + 2 = \frac{475}{19} = 25$.$l_2 = 25 - 2 = 23\, cm$.Now,find $l_1$: $l_1 = l_2 + 4 = 23 + 4 = 27\, cm$.Thus,the lengths of the parallel sides are $27\, cm$ and $23\, cm$.

The difference between two parallel sides of a trapezium is $4\, cm$. The perpendicular distance between them is $19\, cm$. If the area of the trapezium is $475\, cm^2$,find the length of the parallel sides.

Similar Questions

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

The diameter of a circular wheel is $7\, m$. How many revolutions will it make in travelling $22\, km$?

If the base of a parallelogram is $(x+4)$,the altitude to the base is $(x-3)$,and the area is $(x^{2}-4)$,then the actual area is equal to (in $Sq\, units$)

If all the sides of a triangle are increased by $200 \%$,then the area of the triangle will increase by (in $\%$):

The area of a square is $1444 \ m^2$. The breadth of a rectangle is $\frac{1}{4}$ of the side of the square and the length of the rectangle is thrice its breadth. What is the difference between the area of the square and the area of the rectangle? (in $m^2$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module