Area of a Hexagon

Q.

The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ $c{m}^2$

Given: ∆AOB is right angled triangle at O and ∆CPD is right angled triangle at P.

1. 432

2. 678

3. 455

4. 420

Q.

ROCK is a rectangle with sides 8cm and 6cm. BAND is a rhombus obtained by joining the mid-points of the sides of the rectangle. Find the area of BAND.

1. 20 cm${}^2$
2. 24 cm${}^2$
3. 48 cm${}^2$
4. 32 cm${}^2$

Q. The diagonals of a rhombus are $7.5$ cm and $12$ cm. Find its area.

Q.

Find the area of hexagon PQRSTU (in $m^2$) in which QN is perpendicular to PS, RL is perpendicular to PS, TM is perpendicular to PS, UO is perpendicular to PS such that PO= 4 m, ON=2 m, NM= 6 m, ML=2 m, LS= 6 m, UO= 6 m, TM= 8 m, QN= 2 m, and RL=4 m.

1. 144

2. 147

3. 156

4. 142

Q. In the given figure, a square is inscribed in a circle of diameter d and another square is circumscribing the circle. Is the area of the outer square four times the area of inner square? Give reasons for your answer.

1. True
2. False

Q. The length of diagonal of a square whose area is 16900$m^2$ is

1. 130m
2. 169m
3. 144m
4. $130\sqrt{2}m$

Q.

In figure $ ∆ MNO$ is a right-angled triangle.

Its legs are $ 6 cm$ and $ 8 cm$ long.

Length of perpendicular $ NP$ on the side $ MO$ is

6 cm 8 cm 

Q. A boy is designing a diamond shaped kite, as shown in the figure where $AE=16cm,EC=81cm$. He wants to use a straight cross bar $BD$. How long should it be?

1. $27cm$
2. $72cm$
3. $48cm$
4. $56cm$

Q.

Area of Hexagon PQRSTU = Area of∆PQN + Area of quad QRLN +Area of∆RSL + Area of ∆TLS + Area of quad OMTU +Area of∆POU

Is it correct?

1. True

2. False

Q. Area of a polygon can be found by dividing the polygon into different triangles and finding the sum of areas of the individual triangles.

1. False
2. True