R. D. Sharma Solutions for Chapter: Mensuration – I (Perimeter and Area of Rectilinear Figures), Exercise 3: EXERCISE

If the altitude of a parallelogram whose area is $54 {\mathrm{dm}}^2$and the base is $12 \mathrm{dm}$ is $k \mathrm{dm}$, find the value of $k$.

The area of a rhombus is $28 {\mathrm{m}}^2$ and its perimeter is $28 \mathrm{m}$. If its altitude is $k \mathrm{cm}$ then find $k$.

In Fig., $\mathrm{ABCD}$ is a parallelogram, $\mathrm{DL}\perp \mathrm{AB}$ and $\mathrm{DM}\perp \mathrm{BC}$. If $\mathrm{AB}=18 \mathrm{cm}$, $\mathrm{BC}=12 \mathrm{cm}$ and $\mathrm{DM}=9.3 \mathrm{cm}$, find DL.

The longer side of a parallelogram is $54 cm$ and the corresponding altitude is$16 cm$. If the altitude corresponding to the shorter side is $24 cm$, find the length of the shorter side.

The base of a parallelogram is twice its height. If the area of the parallelogram is $512 c{m}^2$, find the base and height.

Two sides of a parallelogram are $20 \mathrm{cm}$ and $25 \mathrm{cm}$. If the altitude corresponding to the sides of length $25 \mathrm{cm}$ is $10 \mathrm{cm}$, find the altitude corresponding to the other pair of sides.

The base and corresponding altitude of a parallelogram are $10 \mathrm{cm}$and $12 \mathrm{cm}$ respectively. If the other altitude is$8 \mathrm{cm}$, and the length of the other pair of parallel sides is $l \mathrm{cm}$ each, then find the value of $l$.

A floral design on the floor of a building consists of $280$ tiles. Each tile is in the shape of a parallelogram of altitude $3 cm$ and base $5 cm$. Find the cost of polishing the design at the rate of $50$ paise per $c{m}^2$.