Rahul Sofat Solutions for Chapter: Perimeter and Area, Exercise 8: SOME NCERT TEXTBOOK QUESTIONS

The perimeter of a rectangular sheet is $100 \mathrm{cm}$. If the length is $35 \mathrm{cm}$, find its breadth. Also find the area.

The area of a square park is the same as of a rectangular park. If the side of the square park is $60 \mathrm{m}$ and the length of the rectangular park is $90 \mathrm{m}$, find the breadth of the rectangular park.

A wire is in the shape of a rectangle. Its length is $40 \mathrm{cm}$ and the breadth is $22 \mathrm{cm}$. If the same wire is rebent in the shape of a square, what will be the measure of each side?

Also find which shape encloses more area?

$∆\mathrm{ABC}$ is isosceles with $\mathrm{AB}=\mathrm{AC}=7.5 \mathrm{cm}$ and $\mathrm{BC}=9 \mathrm{cm}$. The height $\mathrm{AD}$ from $\mathrm{A}$ to $\mathrm{BC}$, is $6 \mathrm{cm}$. Find the area of $∆\mathrm{ABC}$. What will be the height from $\mathrm{C}$ to $\mathrm{AB}$ i.e, $\mathrm{CE}$?

A gardener wants to fence a circular garden of diameter $21 \mathrm{m}$. Find the length of the rope he needs to purchase, if he makes $2$ rounds of fence. Also find the cost of the rope, if it costs $₹4$ per meter (Take $\mathrm{\pi }=\frac{22}{7}$)

From a circular card sheet of radius $14 \mathrm{cm}$, two circles of radius $3.5 \mathrm{cm}$ and a rectangle of length $3 \mathrm{cm}$ and breadth $1 \mathrm{cm}$ are removed. Find the area of the remaining sheet. (Take $\mathrm{\pi }=\frac{22}{7}$)

A picture is painted on a cardboard $8 \mathrm{cm}$ long and $5 \mathrm{cm}$ wide such that there is a margin of $1.5 \mathrm{cm}$ along each of its sides. Find the total area of the margin.