Area

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1 The length and breadth of a rectangle are 6 cm and 4 cm, respectively. What will be it's diagonal?

A
$$2\sqrt 13$$
B
$$2\sqrt 5$$
C
$$3\sqrt 3$$
D
$$7\sqrt 2$$

2 If sides of a square are increased by 5%, by what per cent, it's area will be increased?

A
10%
B
10.5%
C
10.25%
D
10.75%

3 The area of a right angled triangle is 10 sq cm. If it's perpendicular is equal to 20 cm, find it's base:

A
1 cm
B
4 cm
C
3 cm
D
2 cm

4 A room is 7 metres long and 5 metres broad, the doors and windows occupy 5 m×, and the cost of papering the remaining part of the surface of the walls with paper 75 cm wide, at T 4.20 per piece of 13 m is T 39.20. Find the height of room:

A
3 m
B
4 m
C
4.5 m
D
5 m

5 The area of a right angled triangle is 24 cm and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse is

A
3.6 cm
B
4.8 cm
C
5.2 cm
D
12 cm

6 In measuring the sides of a rectangle, one side is taken 5% in excess, and the other 4% in deficit. Find the error per cent in the area calculated from these measurements:

A
2%
B
1%
C
0.8%
D
0.6%

7 If the area of a square increases by 69%, then the side of the square increases by

A
13%
B
30%
C
39%
D
69%

8 If the sides of a square is increased by 25%, then the area of the square will be increased by

A
125%
B
50%
C
56.25%
D
53.75%

9 Angles of a quadrilateral are in the ratio 3:4:5:8. The smallest angle is

A
54°
B
40°
C
36°
D
18°

10 The area of a rectangle is 4 times the area of a square. The area of the square is 729 sq cm and the length of the rectangle is 81 cm. What is the difference between the side of the square and the breadth of the rectangle?

A
18 cm
B
27 cm
C
24 cm
D
9 cm