Area of a General Quadrilateral

Q.

Find the area of the triangle whose sides are $17cm,25cm,26cm$

Q. Question 11
Diagram of the adjacent picture frame has outer dimensions = 24 cm $\times$ 28 cm and inner dimensions 16 cm $\times$ 20 cm. Find the area of each section of the frame, if the width of each section is same.

Q.

Question 20

Area of a quadrilateral ABCD is $20c{m}^2$ and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is
(a) 4 cm (b) 15 cm (c) 16 cm (d) 18 cm

Q.

Question 76

Find the area of the following field. All dimensions are in metres.

Q.

Area of a square is 289 sq. cm. Find the length of the side of the square.

1. 13

2. 15

3. 17

4. 19

Q.

A poster is to have an area of $210{\mathrm{inch}}^2$ with $1\mathrm{inch}$ margins at the bottom and sides and a $2\mathrm{inch}$ margin at the top.

Find the exact dimensions that will give the largest printed area.

Q. The area of the given quadrilateral is equal to
$\frac{1}{2}\times d\times (h_1+h_2)$

1. True
2. False

Q.

Find area of triangle having three sides as $5cm,6cm$ and $7cm$

Q.

Question 16

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

(a) $72c{m}^2$ (b) $36c{m}^2$ (c) $24c{m}^2$ (d) $18c{m}^2$

Q. Area of a trapezium is $480{cm}^2$. Length of one of the parallel sides is $24cm$ and the distance between the parallel sides is $8cm$. Find the length of the other parallel side.

Q.

PQRS is a quadrilateral in which $PQ=5\sqrt{2}cm$, $QR=5\sqrt{2}cm$, $RS=8cm$, $SP=6cm$, $\angle PSR=\angle PQR={90}^{\circ }$. Then its area is

1. 

2. 

3. 

4. 

Q.

Question 16

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

(a) $72c{m}^2$ (b) $36c{m}^2$ (c) $24c{m}^2$ (d) $18c{m}^2$

Q. The area of an equilateral triangle is $49\sqrt{3}c{m}^2$. Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circle. [ 4 MARKS ]

Q. In the following figure, DE || BC. Find the length of EC.

1. 1.5 cm
2. 2 cm
3. 2.5 cm
4. 3 cm

Q.

Find the area of quadrilateral ABCD. Given AE = 5 units, BD = 16 units and CF = 4 units.

1. 72 sq. units
2. 144 sq. units
3. 36 sq. units
4. 54 sq. units

Q.

The number of square tiles of side $50cm$ which can be paved on a rectangular floor of $2m\times 1.5m$is :

1. $12$

2. $60$

3. $40$

4. $24$

Q. A flooring tile has the shape of a parallegrom whos base is 24 cm and the corresponding height is 10 cm . How many such tiles are required to cover a floor of area 1080msquare

Q. Find the area of a quadrilateral $PQRS$ in which $\angle QPS=\angle SQR={90}^o,PQ=12cm,PS=9cm,QR=8cm$ and $SR=17cm$

Q.

Area of a quadrilateral can be found by splitting it into triangles.

1. True

2. False

Q.

Area of the given quadrilateral can be written as Ar(ΔABC)+Ar(ΔACD).

1. True

2. False

Q. In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If $\angle DAB={90}^{\circ }$. The area of field is :

1. $306m^2$
2. $307m^2$
3. $308m^2$
4. $309m^2$

Q. A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. The number such tiles required to cover a floor of area 1080 $m^2$ is

1. 54000
2. 34000
3. 45000
4. 44000

Q.

Area of rectangle of dimensions $20cm\times 15cm$ is

Q.

A floor is $5\text{m}$ long and $4\text{m}$ wide. A square carpet of sides $3\text{m}$ is laid on the floor. Find the area of the floor that is not carpeted.

Q. A flooring tile has the shape of a parallelogram whose base is $24$ $cm$ and the corresponding height is $10$ $cm$. Find the number of such tiles required to cover a floor of area 1080 $m^2$.
(4 marks)

Q. The sides of a quadrilateral $ABCD$ $6cm$, $8cm$, $12cm$, $14cm$, respectively. The angle between the first two sides is a right angle, Find area? (taken in order)

Q. Find the area of a quadrilateral $ABCD$ in which $AB=3cm,BC=4cm,CD=4cm,DA=5cm$ and $AC=5cm$.

Q. Find area of an equilateral triangle of side $16cm.$

Q. Calculate the area of this figure.

1. $20squnits$
2. $24squnits$
3. $26squnits$
4. $22squnits$

Q.

Find the perimeter of the square whose side are given below.

Side $=52m$