Jharne De and Ranjana Kumar Solutions for Chapter: Perimeter and Area, Exercise 6: Test Paper 2

A square and a parallelogram have equal areas. If the side of the square is $30 \mathrm{m}$ and the height of the parallelogram is $15 \mathrm{m}$, find the length of the parallelogram.

If the area of a square inscribed in a circle of radius $3.5 \mathrm{cm}$ if $k {\mathrm{cm}}^2$, find $k$ in decimal.

The area of a triangle is equal to the area of a square of side $30 \mathrm{cm}$. Its altitude is $90 \mathrm{cm}$. If the length of the base of the triangle is $k \mathrm{cm}$, find $k$.

If the area of the unshaded portion in the figure given alongside is $\mathrm{k} {\mathrm{mm}}^2$, then find $\mathrm{k}$.

The dimensions of a photo are $60 \mathrm{cm}$ by $38 \mathrm{cm}$. Sunil wants to frame the photo. The layout of the frame with photo is shown here. If the area of the frame is $k {\mathrm{cm}}^2$, find $k$.

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

If the circumference of the outer circle is $176 \mathrm{m}$ and that of the inner circle is $132 \mathrm{m}$ in the figure given alongside, then the area of the shaded region is $k {\mathrm{m}}^2$. Find $k$.

A rectangular ceiling measuring $4 \mathrm{m}$ by $7 \mathrm{m}$ is to be painted. Each tin of paint will cover an area of $14 {\mathrm{m}}^2$. How many tins of paint are required?