# Area of a General Quadrilateral

## Trending Questions

**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 × 28 cm and inner dimensions 16 cm × 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 20 cm2 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.

13

15

17

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

12×d×(h1+h2)

- True
- 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) 72 cm2 (b) 36 cm2 (c) 24 cm2 (d) 18 cm2

**Q.**Area of a trapezium is 480 cm2. Length of one of the parallel sides is 24 cm and the distance between the parallel sides is 8 cm. Find the length of the other parallel side.

**Q.**

PQRS is a quadrilateral in which PQ=5√2cm, QR=5√2cm, RS=8cm, SP=6cm, ∠PSR=∠PQR=90∘. Then its area is

**Q.**

**Question 16**

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

(a) 72 cm2 (b) 36 cm2 (c) 24 cm2 (d) 18 cm2

**Q.**The area of an equilateral triangle is 49√3 cm2. 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.

- 1.5 cm
- 2 cm
- 2.5 cm
- 3 cm

**Q.**

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

- 72 sq. units
- 144 sq. units
- 36 sq. units
- 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 :

$12$

$60$

$40$

$24$

**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 ∠QPS=∠SQR=90o, PQ=12 cm, PS=9 cm, QR=8 cm and SR=17 cm

**Q.**

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

True

False

**Q.**

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

True

False

**Q.**In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If ∠DAB=90∘. The area of field is :

- 306 m2
- 307 m2
- 308 m2
- 309 m2

**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 m2 is

- 54000
- 34000
- 45000
- 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 m2.

(4 marks)

**Q.**The sides of a quadrilateral ABCD 6 cm, 8 cm, 12 cm, 14 cm, 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=3 cm, BC=4 cm, CD=4 cm, DA=5 cm and AC=5 cm.

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

**Q.**Calculate the area of this figure.

- 20 sq units
- 24 sq units
- 26 sq units
- 22 sq units

**Q.**

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

Side $=52m$