Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Perimeter and Area, Exercise 3: Exercise 13.1

The perimeter of a rectangular sheet of paper is $108 \mathrm{cm}$. Its breadth is $20 \mathrm{cm}$. If its length is $k \mathrm{cm}$, find $k$.

The perimeters of a rectangle and a square, drawn on paper are the same. The dimensions of the rectangle are $10 \mathrm{cm}$ and $14 \mathrm{cm}$. If the length of each side of the square drawn on the paper is $k \mathrm{cm}$, find $k$.

Find the value of $x$ when in a rectangle, $l=3x, b=x$ and perimeter $=48$ units.
 

Find the value of $x$ when in a triangle, each side $=x-2$ and perimeter $=15$ units.
 

Find the value of $x$ when in a rectangle, four sides are $x-2, 2x-3, x-2, 2x-3$ and perimeter $=8$ units.

The diameter of a wheel is $1 \mathrm{m}$. If the number of revolutions taken by the wheel of a truck to cover a distance of $78.5 \mathrm{km}$ is $k$, find $k$. (Use $\pi =3.14$)

The length of the hour hand of a clock is $4.9 \mathrm{cm}$. If the distance travelled by the tip of the hour hand in a week is $k \mathrm{cm}$, find $k$.

The cost of the wooden strip is $₹10$ per metre. If the cost of a wooden strip required to frame a photograph of dimensions $80 \mathrm{cm}\times 50 \mathrm{cm}$ is $₹k$, find $k$.