Area of Plane figure
Click the appropriate answer:
1 The area of a triangle is equal to
1/2 x base x height 2.Base x height (base+height) /2
2 Perimeter of a triangle is equal to
[side1 x side2 x side3 ] / 2 (side1 x side2 x side 3)2 side1 + side2 + side3
3 Area of an equilateral triangle is
Ö3/Ö2x (side)2 Ö3/4 x (side)2 Ö3/2 x side
4 Perimeter of an equilateral triangle is
Ö3/2 x side Ö3/4 x side Ö3/2 x (side)2 3(length of side)
5 Area of an Isosceles right angled triangle is
(side)2 [(side)2]/2 [(length of similar sides)2]/2
6 Perimeter of an isosceles right angled triangle is
2 + (side)2 (2 X length of same sides) + hypotenuse 2(length of similar sides)
7 Hypotenuse in an isosceles right angled is equal to
(length of similar sides)Ö2 length of similar side x 2 (hypotenuse)2
8 In a right angle triangle the hypotenuse is equal to
Öside1 x 2 Ö(side1)2 Ö[(side1)2 x (side2)2]
9 Height of equilateral triangle is
Ö[2 x (side)2] (Ö3)/2 x side Ö2 x 3(side)
10 Perimeter of square is equal to
side2 (side + side)2 4(side)
11 Area of square is equal to
2 x side (side)2 Ö2 side
12 Perimeter of parallelogram is equal to
2a2 + 2b2 2a x 4b 2(a+b)
13 The area of parallelogram is equal to
ah a2h ah2
14 Perimeter of a rhombus is equal to
2 x side 4 x side (side)2
15 Area of rhombus is equal to
(diagonal)2 2 x side x diagonal 1/2 x diagonal1 x diagonal2
16 The diagonals of a rhombus bisect each other at
120o 90o 110o
17 The area of trapezium is equal to
1/2 (a+b)h Ö2(a+b)h (a+b)h
18 Area of rectangle is equal to
(length)2 length x breadth (length + breadth)2
19 Perimeter of rectangle is equal to
Length + breadth length/2 2(length + breadth)
20 Area of quadrilateral is equal to
Ö2(AC) 1/2 (AC)(h1+h2) [(AC)2/2]
21 h1 & h2 are
altitudes diagonals biscetors
22 In an Equilateral triangle all angles are
not same same two are same
23 In an isosceles triangle
two angles are same all three are equal all three differ
24 The total of angles in all triangles is
270o 360o 180o
25 The area of equilateral triangle is equal to 1/2 x length of side x
height length of side 3
26 Find the area of triangle with base = 5 cm and height 10 cm
100 cm 2 10 cm2 25 cm2
27 The area of a right angled triangle is 200 cm2 the base is 20 cm and so the height is
20 cm 10 cm 100cm
28 "The perimeter of a right angled triangle is 21 cm, its base = 2 cm, height = 10 cm" \ Hypotenuse =
12 cm 10 cm 9 cm
29 In an isosceles triangle hypotenuse is 6Ö2.find the area.
36 cm2 18 cm2 6 cm2
30 The area of square is 100cm2 and perimeter is
40 cm 10 cm 20 cm
31 Length of diagonals of rhombus are 5 cm and 6 cm. The area is
30 sqcm 45 sqcm 15 sqcm
32 The area of equilateral triangle with side a is
a2 Ö3/4 x a2 (a2)/Ö2
33 "The distance between two parallel sides of trapezium is 5 cm, the length of parallel sides each is 2 cm so the area of trapezium is "
20 cm2 40 cm2 5cm2
34 The area of quadrilateral 30 cm2 and (h1+h2) = 15 then AC is equal to
8 cm 15 cm 4 cm
35 "The perimeter of a parallelogram is 44, area is 20 cm2 and distance between parallel side is 10 cm then length of two sides equal to "
5 cm and 20 cm 2 cm and 20 cm 10 cm and 2 cm
36 The area of rhombus is 96 cm2 the length of one diagonal is twice the other so the length of diagonals is
4 cm and 8 cm 8 cm and 16 cm 4Ö3 and 8Ö3 cm
37 In a right angled triangle hypotenuse is a cm and base is b cm then the third side is
Ö(a2-b2) cm (a-b) cm (a+b) cm
38 Find the area of a triangle who has one angle ÐA = 90o and remaining two = 45o = ÐB = ÐC
1/2 x sideBC 1/2 x AB x AC Ö2 BC2
39 The perimeter of rhombus = perimeter of square = 25 cm then length of side of rhombus and side of square =
6cm;4cm Ö2 cm;Ö3cm 6.25 cm;6.25 cm
40 A tent in a trapezium shape has base of 100cm, height of 50 cm and length is 60 cm. So the area occupied by the tent is
4000 sqcm 210 sqcm 105 sqcm
41 One of the following combination makes a right angle, which is
3cm,5 cm,1 cm 10 cm,6 cm,3 cm 6 cm,8 cm,10 cm
42 A square with side 4 cm and rectangle with sides 8 cm and 2cm have areas
16 cm2,32 cm2 16 cm2,16 cm2 32 cm2,32 cm2
43 Diagonal of a square is
Ö2 x side Ö2 x side2 Ö(side) x 2
44 The measure of sum of all angles in quadrilateral is
170o 90o 360o
45 Every polygon has more than the following sides
10 2 6
46 A regular polygon can be inscribed in a
circle trapezium square
47 (side)2/2 is the area of
square equilateral triangle isosceles right triangle
48 Diagonal of square 2cm \ the area is
2 cm2 4 cm2 1 cm2
49 Number of sides parallel in a parallelogram are
all 1 3
50 If the number of sides in a polygon are n then it is a
decagon infinte polygon n sided polygon