Area

Q. Find the area of quadrilateral PQRS shown in below Fig:

Q.

Pizza factory has come out with two kinds of pizzas. A square pizza of side 45 cm costs Rs.150 and a circular pizza of diameter 50 cm costs Rs.160. Which pizza is a better deal?

Q. Find the areas of given plots. (All measures are in metres.)
(1)

Q.

2m wide path is built along the border and inside a square garden of side 11m. The area of the path is ___.

Q. Find the area of shaded region, if ABCD is a square having side equal to 14 cm, which is also equal to the diameter of circle.

1. 42 $c{m}^2$
2. 154 $c{m}^2$
3. 196 $c{m}^2$
4. 350 $c{m}^2$

Q.

If the A.M is twice the G.M. of the numbers $a$ and $b$, then $a:b$ will be

Q. Radii of the circles are given below, find their areas.
(1) 28 cm
(2) 10.5 cm
(3) 17.5 cm

Q. If the perimeter of a rectangular field is 200 m and its breadth is 40 m. What is its area?

1. 1900 m^2
2. 2400 m^2
3. 3300 m^2
4. 2000 m^2

Q.

A field in a shape of a quadrilateral ABCD in which side $AB=18m$, side $AD=24m$, side $BC=40m$ and side $DC=50m$ and $\angle A={90}^{\circ }$. find the area of the field.

Q. the diameter of a garden roller is 1.4 m and it is 2 meters long how much distance will it cover in 50 revolutions

Q. If the radius of a circle is 21 cm, the area of the circle is .

1. 1386 cm${}^2$
2. 1665 cm${}^2$
3. 996 cm${}^2$

Q.

A path 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is ___ $m^2$.

Q.

You are cutting a rectangular piece of fabric in half along a diagonal. The fabric measures $28inches$ wide and $1\frac{1}{4}yards$ long. What is the length (in inches) of the diagonal?

Q. Question 1
The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are
1 m and 1.2 m and the perpendicular distance between them is 0.8 m.

Q. The area of a parallelogram is 64 $c{m}^2$. Its sides are 16 cm and 5 cm. Find both heights of the parallelogram on adjacent sides.

Q. The area of a parallelogram is 44 $c{m}^2$ and its base is 4 cm. Find its height.

1. 40 cm
2. 36 cm
3. 11 cm
4. 14 cm

Q. Find the area of a rectangle if the length and breadth of the rectangle are given as 2 cm and 3 cm respectively.

1. $9c{m}^2$
   
2. 
   $6c{m}^2$
3. $10c{m}^2$
4. $12c{m}^2$
   

Q. Find the base of the parallelogram, if its area is 108 sq cm and it height is 12 cm.

1. 7 cm
2. 5 cm
3. 8 cm
4. 9 cm

Q.

The formula to find the area of following polygon is:

1. ar(AEF) + ar(ABDE) + ar(BCD)

2. ar(AEF) + ar(BCD)

3. ar(ABDE) + ar(BCD)

4. ar(AEF) + ar(ABDE)

Q.

In the square carpet below, find the area of the orange region.

1. $6c{m}^2$

2. $2c{m}^2$

3. $4c{m}^2$

4. $8c{m}^2$

Q. The area of a trapezium with equal non-parallel sides is $168m^2$. If the lengths of the parallel sides are $36m$ and $20m$, then find the length of the non-parallel sides.

Q.

The area of a trapezium is $440c{m}^2$. The lengths of the parallel sides are 60 cm and 28 cm respectively. The distance between the parallel sides is cm.

1. Rs. 218

2. Rs. 214

3. Rs. 238

4. Rs. 228

Q. The parallel sides of the trapezium are 9cm and 7cm long and the distance between them is 6cm. Find the area of the trapezium.
[2 marks]

Q. Find the area of pentagonal-shaped field given below.

Q. THE DIAGONAL OF A QUADRILATERAL SHAPED FIELD IS 24m AND THE PERPENDICULARS OF DROPPED ON IT FROM THE REMAINING OPPOSITE VERTICES ARE 8m AND 13m . FIND THE AREA OF THE FIEL

Q.

Find the area of the orange colored part. The side of the outer square is 30 cm and the side of the inner square is 15 cm.

1. $900c{m}^2$

2. $225m^2$

3. $60m^2$

4. $675c{m}^2$

Q. Which of the following coloured regions represent the area 3x sq units?

1. Purple
2. Blue
3. Red
4. Green

Q. What is the area of a trapezium and kite??

Q.

The area of the rectangle with length 11 cm and width equal to half its length will be

1. 22 $c{m}^2$

2. 60.5 $cm$

3. 60.5 $c{m}^2$

4. 33 $c{m}^2$

Q. Find the height of a trapezium that has parallel sides of $6\text{cm}$ and $8\text{cm}$, and an area of $49{\text{cm}}^2$.

1. $4\text{cm}$
2. $5\text{cm}$
3. $3\text{cm}$
4. $7\text{cm}$