Kesab Chandra Nag Solutions for Exercise 3: EXERCISE-1.3

One of the diagonals of a rhombus is $80\%$ smaller than the other one, then how many times the area of the rhombus is than the square of the greater diagonal?

The area of a rhombus is $72 c{m}^2$ and one of the diagonals is $18 cm$. Then find the length of the other diagonal.

The side of a rhombus type metal-plate is $10 m$ and one of its diagonals is $16 m$. What will be the total expenditure to colour each of the two sides of the plate at a rate of $Rs 50$ per $m^2$?

The area of a parallelogram is $392 m^2$. If the height of it be twice of its base, find the base and height of the parallelogram.

The area of a trapezium is $2400 m^2$ and one of its parallel sides is $75 m$. If the perpendicular distance between the parallel sides is $40 m$, then find the length of the other parallel side.

$ABED$ is a parallelogram of which $AB=DE=10 cm$ and the area of the $∆BEC$ is $72 c{m}^2$. If $CE=16 cm$, then find the area of the trapezium $ABCD$.

$ABCD$ is a trapezium of which $AB\parallel DC$ and $DA\perp AB$. If $AB=13 cm, BC=10 cm$ and $CD=7 cm$, then find the area of the trapezium.

The areas of a parallelogram and a rhombus are equal. The lengths of the diagonals of the rhombus are $120 cm$ and $44 cm$. If one of the sides of the parallelogram be $66 cm$, then find the height of it w.r.t that side.