K C Sisodia Solutions for Chapter: Mensuration, Exercise 1: TEST YOUR SKILLS

If the area of a triangle whose base is $20 \mathrm{cm}$  and the corresponding altitude is $16 \mathrm{cm}$ is $k {\mathrm{cm}}^2$, then find the value of $k$.

The base of an isosceles triangle is $24\mathrm{cm}$and its area is $192{\mathrm{cm}}^2$ , Find its perimeter.(in $\mathrm{cm}$)

If the perimeter of an isosceles right -triangle whose area is $72 {\mathrm{cm}}^2$ is $k \mathrm{cm}$, then find the value of $k$. (Write the answer correct up to $2$ decimal places and use $\sqrt{2}=1.414$)

The height of an equilateral triangle is $8 \mathrm{cm}$. If its area is $k {\mathrm{cm}}^2$, find the value of $k$. (Use $\sqrt{3}=1.732$ and give answer upto two decimal places)

If the lengths of the sides of a triangle are in the ratio $3:4:5$and its perimeter is $48\mathrm{cm}$, find its area in ${\mathrm{cm}}^2$.

How many square tiles of the side $20 \mathrm{cm}$ will be needed to pave a footpath of $2 \mathrm{m}$ wide and surrounds a rectangular plot of $40 \mathrm{m}$ long and $22 \mathrm{m}$ wide?

The length of a rectangular hall is $5 \mathrm{m}$ more than its breadth. If the area of the hall is $594 {\mathrm{cm}}^2$, find its perimeter.

A circular wall has a radius of $7 \mathrm{m}$, the wall is surrounded by a concrete path of $1.75 \mathrm{m}$ width, find the area of the path.