O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Perimeter and Area, Exercise 9: Revision Exercise

Area of a parallelogram is $36x^2 \mathrm{c}{\mathrm{m}}^2$, it's one side is $12x \mathrm{c}\mathrm{m}$. Its height is _____ $\mathrm{cm}$.

The area of a square garden is $900 {\mathrm{m}}^2$. The distance travelled by a person in taking $10$ rounds of the garden is_____.

If the base of a triangle is halved and the height doubled, then its area is_____the original area. (Equal to/ double/ half of)

The area of the circular ring with outer and inner radii $r_2$ and $r_1$ respectively is$\pi \left(r_2^x-r_1^x\right)$, then the value of $x=$_____

A square park has a $3$ $\mathrm{metre}$ wide road inside it running along its sides. The area occupied by the road is $1764$ $\mathrm{square} \mathrm{metres}$. What is the perimeter along the outer edge of the road?

A rectangular field has dimensions $30 \mathrm{m}$ by $12 \mathrm{m}$. Two mutually perpendicular passages of $4 \mathrm{m}$ width have been left in its central part and the grass has been grown in the rest of the field. What is the value of $k$ if the area under the grass is $k {\mathrm{m}}^2$?

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is $80 \mathrm{m}$, what is the height of the triangle?

What is the numerical value of the diameter of a circle, if its circumference and area are numerically equal?