Area of Quadrilateral

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. 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. In given hexagon, length of all sides equals to 6 cm, then find its area if AD = 12 cm, and PO = OQ = 5.2 cm.

1. 45 $c{m}^2$
2. 60 $c{m}^2$
3. 75.2 $c{m}^2$
4. 93.6 $c{m}^2$

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. 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. 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. 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. 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. 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. 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 $c{m}^2$