Subject Experts Solutions for Chapter: Mensuration, Exercise 1: Practice Exercise

If the height of a right angle triangle is decreased by $40\%$ and its base is increased by $40\%$, what will be the effect on its area?

A ground $100 \mathrm{x} 80 {\mathrm{m}}^2$ has, two cross roads in its middle. The road parallel to the length is 5 m wide and the other road is $4 \mathrm{m}$wide, both roads are perpendicular to each other. The cost of laying the bricks at the rate of$\text{ マ }10$$\mathrm{per} {\mathrm{m}}^2$ , on the roads, will be

Diagonals of a rhombus are$1 \mathrm{m}$ and $1.5 \mathrm{m}$ in lengths. The area of the rhombus is

Two straight poles of unequal length stand upright on a ground. The length of the shorter pole is $10 \mathrm{m}$. A pole joins the top of the two vertical poles. The distance between the two tops is$5 \mathrm{m}$. The distance between the poles along the ground is $4 \mathrm{m}$. The area thus formed by the three poles with the ground is

If a square field has its area equal to$324 {\mathrm{m}}^2$ then the perimeter of the field is

A closed metal box measures$30 \mathrm{cm}\times 20 \mathrm{cm}\times \mathrm{l}0 \mathrm{cm}.$ Thickness of the metal is $1\mathrm{cm}$. The volume of the metal required to make the box is

A patient in a hospital is given soup daily in a cylindrical bowl of diameter$7 \mathrm{cm}$. If the bowl is filled with soup to a height of $4 \mathrm{cm}$, how much soup the hospital has to prepare daily to serve $250$ patients?

A circular park, $42 \min$ diameter, has a path $3.5 \mathrm{m}$ wide running around it on the outside. Find the cost of gravelling the path at$\text{ र } 4 \mathrm{per} \mathrm{sq} \mathrm{m}$.