Area

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111 One of the diagonals of a rhombus is double the other diagonal. it's area is 25 cm°. The sum of the diagonals is

A
10 cm
B
12 cm
C
15 cm
D
16 cm

112 Find the area of a rhombus one side of which measures 20 cm and one diagonal 24 cm:

A
384 cm°
B
324 cm°
C
344 cm°
D
374 cm°

113 AB and CD are two diameters of a circle of radius r and they are mutually perpendicular. What is the ratio of the area of the circle to the area of the triangle ACD?

A
PI
B
1:PI
C
1:PI2
D
2:PI

114 The area of a sector of a circle is 77 sq cm and the angle of the sector is 45°. Find the radius of the circle:

A
7 cm
B
14 cm
C
21 cm
D
28 cm

115 If the length of a rectangle decreases by 5 m and breadth increases by 3 m, then it's area reduces 9 sq m. If length and breadth of this rectangle increased by 3 m and 2 m respectively, then it's area increased by 67 sq m. What is the length of rectangle?

A
9 m
B
15.6 m
C
17m
D
18.5 m

116 What is the area of a circle whose area is equal to that of a triangle with sides 7 cm, 24 cm and 25 cm?

A
80 cm2
B
84 cm2
C
88 cm2
D
90 cm2

117 The difference between two parallel sides of a trapezium is 4 cm. The perpendicular distance between them is 19 cm. If the area of the trapezium is 475 cm°, find the length of the parallel sides:

A
29 cm, 25 cm
B
28 cm, 24 cm
C
27cm, 23 cm
D
26 cm, 22 cm

118 Find the distance between the two parallel sides of a trapezium if the area of trapezium is 250 m2, and the two parallel sides are 30 m and 20 m respectively:

A
10 m
B
20 m
C
30 m
D
40 m

119 The perimeters of two squares are 68 cm and 60 cm. Find the perimeter of the third square whose area is equal to the difference of the areas of these two squares:

A
64 cm
B
60 cm
C
32 cm
D
8 cm

120 Find the distance between the two parallel sides of a trapezium if the area of the trapezium is 500 sq m and the two parallel sides are equal to 30 m and 20 m, respectively:

A
20 cm
B
15 cm
C
18 cm
D
25 cm