Jharne De and Ranjana Kumar Solutions for Chapter: Perimeter and Area, Exercise 5: Test Paper 1

If the area of a square is increased four times, how much does the perimeter increase?

If the area of a rectangle one side of which measures $12 \mathrm{m}$ and the diagonal measures $13 \mathrm{m}$ is $k {\mathrm{m}}^2$, find $k$.

A triangle with base $24 \mathrm{cm}$ and height $15 \mathrm{cm}$ is cut from a rectangle of length $40 \mathrm{cm}$ and breadth $24 \mathrm{cm}$. If the area of remaining piece is $k {\mathrm{cm}}^2$, find $k$.

The area of a parallelogram is $60 {\mathrm{cm}}^2$ and the base of the parallelogram is $12.5$ $\mathrm{cm}$. If its altitude is $h \mathrm{cm}$, find the value of $h$ in decimal.

The area of the portion $PQORSP$ is $k {\mathrm{cm}}^2$. Find $k$.

The area of a quadrilateral whose diagonal measures $24$ $\mathrm{cm}$ and the lengths of the perpendiculars on it from the opposite vertices are $6.4$ $\mathrm{cm}$ and $7.6$ $\mathrm{cm}$ respectively is $k {\mathrm{cm}}^2$. Find $k$.

The area of the given figure where $\mathrm{PQRS}$ is a rectangle of length $\mathrm{RS}=20 \mathrm{cm}$ and breadth $\mathrm{QR}=14 \mathrm{cm}$ is $k {\mathrm{cm}}^2$. Find $k$.

From a circular disc of radius $28 \mathrm{cm}$, two circles of radius $\frac{7}{2} \mathrm{cm}$ each, a triangle of base $3 \mathrm{cm}$ and height $2 \mathrm{cm}$, a rectangle of length $4 \mathrm{cm}$ and breadth $3 \mathrm{cm}$ are cut out. The area of the remaining disc is $k {\mathrm{cm}}^2$. Find $k$.