S.N. Chhibber Solutions for Chapter: Perimeter and Area of Plane Figures, Exercise 1: Exercise

What area is left from a square field after making an allowance for a rectangular football ground $100 \mathrm{m}$ by $55 \mathrm{m}$, if side of the square is $156 \mathrm{m}$? Give your answer in $\mathrm{hectares}$ and $\mathrm{acres}$.

The diagonal of the square is $4\sqrt{2} \mathrm{cm}$. If the perimeter of a square is $x \mathrm{cm}$, then the value of $x$.

A track of uniform path $2 \mathrm{m}$ wide runs around a rectangular park $50 \mathrm{m}$ in length and $36 \mathrm{m}$ in breadth. Calculate the area of the track in $x {\mathrm{m}}^2$, then the value of $x$.

If the area of the shaded portion in the given figure is $x {\mathrm{m}}^2$, then find the value of $x$.

A rectangular carpet $4 \mathrm{m}$ long and $2.5 \mathrm{m}$ broad is laid in rectangular room of area $16 {\mathrm{m}}^2$. Find if the area of floor not covered by carpet is $x {\mathrm{m}}^2$, then the value of $x$.

A field is $70 \mathrm{m}$ long and $40 \mathrm{m}$ broad. A path of uniform width runs all around inside the field and covers an area of $1000 {\mathrm{m}}^2$. Find if the width of the path is $x \mathrm{m}$, then the value of $x$.

A rectangular field is $150 \mathrm{m}$ long. The cost of fencing it at the rate of $₹60 \mathrm{per} \mathrm{m}$ is $₹120600$. If its area in square meters is $\mathrm{k} {\mathrm{m}}^2$, then find $\mathrm{k}$.

The adjacent figure shows a rug which has a white centre and a shaded border $250 \mathrm{cm}$ wide. Find the area of the rug and the area of the shaded border.