Monicaa Abhijit Solutions for Chapter: Mensuration-I (Plane Figures), Exercise 7: EXEMPLAR PROBLEMS

What is the area of the largest triangle that can be fitted into a rectangle of length $l$ units and width $w$ units?

Area of quadrialateral $\mathrm{ABCD}$ is $20 {\mathrm{cm}}^2$ and perpendiculars on $\mathrm{BD}$ from opposite vertices are $1 \mathrm{cm}$ and $1.5 \mathrm{cm}$. The length od $\mathrm{BD}$ is:

If the diagonals of a rhombus get doubled, then the area of the rhombus becomes _____ times its original area.

The area of a trapezium becomes $4$ times if its height gets doubled.

The area of a rectangular field is$48 {\mathrm{m}}^2$ and one of its sides is $6 \mathrm{m}$. How long will a lady take to cross the field diagonally at the rate of $20 \mathrm{m}/\min$?

Four horses are tethered with equal ropes at $4$ corners of a square field of side $70 \mathrm{m}$ so that they just can reach one another. Find the area left ungrazed by the horses.

The area of trapezium with equal non-parallel sides is $168 {\mathrm{m}}^2.$ If the lengths of the parallel sides are $36 \mathrm{m}$ and $20 \mathrm{m}$, find the length of the non-parallel sides.