# DELHI POLICE WIRELESS OPERATOR QUANT (MENSURATION, 2D) QUIZ-3

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## Question 1:

The length of one side of a rhombus and one of the two diagonals is $6 \mathrm{~cm}$. The area of a rhombus is......... $\mathbf{c m}^{2}$.

## Question 2:

The sides of a triangle are in the ratio of 12: 17: 25 and its perimeter is $540 \mathrm{~cm}$. Find its area?

## Question 3:

The perimeter of two squares are $64 \mathrm{~cm}$ and $252 \mathrm{~cm}$ respectively. The area of third square is equal to the sum of the areas of these two squares, The perimeter (in $\mathrm{cm}$ ) of third square is:

## Question 4:

Length of each side of a rhombus is 12.5cm and one of the diagonal is 12cm. What is the area. (in ${~cm}^{2}$) of the rhombus?

## Question 5:

A circle and a rectangle have the same perimeter. The sides of the rectangle are $18 \mathrm{~cm}$ and $26 \mathrm{~cm}$. The area of the circle is $\left[\right.$ Take $\left.\pi=\frac{22}{7}\right]$

## Question 6:

Find the circumference of a circle whose area is 1232 $\mathrm{m}^{2}$.

## Question 7:

The length of two sides of a parallelogram are $8 \mathrm{~cm}$ and $15 \mathrm{~cm}$. What is the sum of the squares of the diagonals of the parallelogram?

## Question 8:

If the length and perimeter of a rectangle are in the ratio $5: 18$ and area of rectangle is $720 \mathrm{~cm}^{2}$, then the breadth $($ in $\mathrm{cm})$ of the rectangle is:

## Question 9:

The perimeter of a semi-circular field is $72 \mathrm{~cm}$, find its radius.

## Question 10:

A room 9 meter long, 7 meter breadth and 3 $\mathrm{m}$ height has two windows $1 \frac{1}{2} \mathrm{~m} \times 1 \mathrm{~m}$ and a door $2 \mathrm{~m} \times 1 \frac{1}{2} \mathrm{~m}$. Find the cost of papering the wall with paper $50 \mathrm{~cm}$ wide at 25 paise meter.