# SSC Worksheet for chapter-9 Area of Quadrilateral class 9

## Find SSC Worksheet for chapter-9 Area of Quadrilateral(parallelogram) class 9

CLASS-9

BOARD: SSC

Mathematic Worksheet - 9

For other SSC Worksheet for class 9 Mathematic check out main page of Physics Wallah.

1. In the given figure ABCD is parallelogram while E and F are midpoint of sides AB and CD, what will be value of Ar(ΔADF)/Ar(AECF)? 1. 1/2
2. 2
3. 1
4. 4

2. In the given rectangle ABCD, AB : BC =√3 : 2 in circle touching only sides AB and CD, while circumcircle passing through all vertex. Find ratio of strips and cross-shaded area : 1. 2(11-4√3)/7(14√3-22)
2. 2(14√3-22)/7(11-4√3)
3. 2/7
4. 7/2 ((7√3-11)/(12-2√3))

3. Find ratio of area of ΔADF and ΔABE, F and E are such that

DF = FC, 2BE = EC, ABCD is parallelogram 1. 3
2. 5/2
3. 2
4. 3/2

4. ΔABCD is trapezium if AB = 20 cm, CD = 15cm, DE  AB, CF  AB if Ar(ΔADE)/Ar(ΔCFB) =3/4.

Find FB – AE.

1. 3/7
2. 4/7
3. 5/7
4. 6/7 5. In given ΔABC

DE || FG || BC

Find ratio of area ΔADE and FGCB 1. 1/4
2. 1/5
3. 1/6
4. 1/7

6. In given figure ABCD is parallelogram. If AE = 2AD and

AF = 2DG = AB/2 .

What will ratio of area of ΔDEG and quadrilateral GCBF. 1. 1/5
2. 1/6
3. 1/4
4. 1/3

7. Quadrilateral ABCD is formed by unfolding a circle of same perimeter as ABCD. What is ratio of maximum area possible of quadrilateral and circle’s area ? 1. π/2
2. π/3
3. π/4
4. π/5

8. In given figure a sheet of dimension 20 x 30 is given. If from each corner a square of 5 cm side was cut. Find the volume of parallel piped formed by folding sides (as shown in fig.) 1. 1000 cm3
2. 500 cm3
3. 2000 cm3
4. 3000 cm3

9. Form a rectangle of dimensions a rhombus is formed by joining midpoint of each side. Find the ration of area of rhombus and remains part of rectangle.

1. 1/2
2. 1
3. 3/2
4. 2 10. For a fire length of perimeter, what is correct order of area of different shapes ?

1. Circle>Square>Rectanle
2. Circle>Rectanle >Square
3. Rectanle >Circle>Square
4. Rectanle > Square>Circle

11. Find the area of Rectangle ABCD. It is given that arc of circle passes through point A, D and touches BC at midpoint. Radius of circle in 13 cm & BC = 24 cm.

1. 96 cm2
2. 384 cm2
3. 144 cm2
4. 192 cm2

12. In given fig. ABCD is a rectangle .A small circle C1of radius R1 touches side DC at mid point E. AFB is a part of circle (c2) of radius R2 . EF =BC/6 .(at point F both circles touches each other).If Find R2 – R1 1. 26 cm
2. 25 cm
3. 24 cm
4. 23 cm

Solutions: to worksheet-9 Topic-Area of Quadrilateral(parallelogram)

 1. (a) 2. (b) 3. (d) 4. (c) 5. (b) 6. (a) 7. (c) 8. (a) 9. (b) 10. (a) 11. (d) 12. (c)