Area of Quadrilateral

Q. Find the area of pentagon ABCDE, given that EB = 10 cm, DC = 5 cm, AF = 3 cm and DG = 4 cm.

1. 15 $c{m}^2$
2. 30 $c{m}^2$
3. 45 $c{m}^2$
4. 60 $c{m}^2$

Q.

The diagonal of a quadrilateral shaped field is 25 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 12 m. Therefore the area of the field is 250m².

Q. In the quadrilateral ABCD, AC = 10 cm, DF = 4 cm, and BE = 3 cm. Find the area of quadrilateral ABCD.

1. 15 $c{m}^2$
2. 30 $c{m}^2$
3. 35 $c{m}^2$
4. 65 $c{m}^2$

Q. The area of the given figure is equal to ___ $c{m}^2$.

1. 55

Q. Find area of shaded region if AH=ED=OP = 2 cm, AB=DC=6 cm, HG=EF=4 cm, GF=3 cm, BC=7 cm.

1. 8 $c{m}^2$
2. 16 $c{m}^2$
3. 20 $c{m}^2$
4. 30 $c{m}^2$

Q.

Question 57

State whether the following statement is true or false:

The area of a trapezium becomes 4 times if its height gets doubled.

Q. In given quadrilateral ABCD, BE = 3 cm and DF = 4 cm. find the length of AC if area of ABCD is 28$c{m}^2$

1. 4 cm
2. 6 cm
3. 8 cm
4. 7 cm

Q.

Question 82

Find the area of shaded portion.

Q.

Find the area of the triangle ABC.

1. $30c{m}^2$
2. $10c{m}^2$
3. $20c{m}^2$
4. $40c{m}^2$

Q.

Find the area of the given field. (All dimensions are in metres)

Q. Find the area of quadrilateral ABCD, given that AC = 10 m, $h_1$ = 4 m and $h_2$ = 2 m.

1. 20 $m^2$
2. 30 $m^2$
3. 60 $m^2$
4. 10 $m^2$

Q. If area of $△$ABC and $△$ADC are 30 $c{m}^2$ and 40 $c{m}^2$ respectively. If AC = 10 cm, then find lengths of BE and DF.

1. 3 cm, 4 cm
2. 4 cm, 3 cm
3. 8 cm, 6 cm
4. 6 cm, 8 cm

Q. The curved surface area of the cylindrical roller having radius and height as 5 cm and 14 cm respectively is equal to

1. 420 $c{m}^2$
2. 440 $c{m}^2$
3. 460 $c{m}^2$
4. 480 $c{m}^2$

Q.

Find the area of the polygon given below.

Q. The area of a rhombus is $240c{m}^2$ and one of the diagonals is 16 𝑐𝑚. Find the other diagonal.

1. 15 𝑐𝑚
2. 24 𝑐𝑚
3. 30 𝑐𝑚
4. 12 𝑐𝑚

Q. The diagonals of a rhombus are in the ratio 2:3. Find the length of smaller diagonal, if the area of the rhombus is 27 $c{m}^2.$

Q.

In the given figure $△FGH$ and $△CDE$ are right angled triangles.

Area of the following shape is ___

$c{m}^2$.

1. $50c{m}^2$
2. $54c{m}^2$
3. $60c{m}^2$
4. $64c{m}^2$

Q. Length of diagonal and perpendiculars from remaining vertices are given. Find area of quadrilateral.

1. 9 $c{m}^2$
2. 8 $c{m}^2$
3. 15 $c{m}^2$
4. 18 $c{m}^2$

Q. The legs of a right triangle are in the ratio 3 : 4 and its area is 1014 $c{m}^2$ . Find the lengths of its legs .

Q. Find the area of the triangle PQR with base and height as 36 in and 45 in respectively.

1. 810 sq.in
2. 1080 sq.in
3. 1215 sq.in
4. 1620 sq.in

Q. Find the area of the following quadrilaterals (All measures are in cm)

1. $296c{m}^2;174c{m}^2;297c{m}^2$
2. $297c{m}^2;175c{m}^2;297c{m}^2$
3. $297c{m}^2;174c{m}^2;299c{m}^2$
4. $297c{m}^2;174c{m}^2;297c{m}^2$

Q.

State formula for evaluating the area of a rhombus.

Q. Find the area of the given polygon if 𝐴𝐷 = 8 𝑐𝑚, 𝐴𝐻=6 𝑐𝑚, 𝐴𝐺=4 𝑐𝑚, 𝐴𝐹=3 𝑐𝑚, 𝐵𝐹=2 𝑐𝑚, 𝐶𝐻=3 𝑐𝑚 𝑎𝑛𝑑 𝐸𝐺=2.5 𝑐𝑚.

1. $23.5c{m}^2$
2. $43.5c{m}^2$
3. $33.5c{m}^2$
4. $53.2c{m}^2$

Q. The area of the given figure is equal to ___ $c{m}^2$.

1. 55

Q. The area of the given figure is equal to ___ $c{m}^2$.

1. 55

Q. Find the values of the letters in each of the following and give reasons for the steps involved
$18A$
$+BA7$
__________
$CB2$

Q. In given quadrilateral ABCD, BE = 3 cm and DF = 4 cm. Find the length of AC if area of ABCD is 28 \(cm^2\).

[3 marks]

Q. In given regular hexagon, if AD = 10 cm, AB = 5 cm and FB = 8.66 cm, find area of hexagon.

1. 32.49 $c{m}^2$
2. 64.95 $c{m}^2$
3. 97.43 $c{m}^2$
4. 129.9 $c{m}^2$

Q. Area of quadrilateral is half times product of one of the diagonal and sum of perpendiculars from remaining two vertices on the diagonal.

1. False
2. True

Q. Find the area of pentagon ABCDE, given that EB = 10 cm, DC = 5 cm, AF = 3 cm and DG = 4 cm.

1. 30 $c{m}^2$
2. 60 $c{m}^2$
3. 15 $c{m}^2$
4. 45 $c{m}^2$