If the diagonals of a rhombus are 24cm and 10cm the area and the perimeter of th

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Question
If the diagonals of a rhombus are 24cm and 10cm the area and the perimeter of the rhombus are respectively.
Options
A. 10
B. 11
C. 12
D. 13

Correct Answer

13

Explanation

Area = $\frac{1}{2} * d i a g o n a l 1 * \frac{1}{2} d i a g o n a l 2$ = $\frac{1}{2} * 24 * 10$ sq.cm

$\frac{1}{2} * d a i g o n a l 1 = \frac{1}{2} * 24 = 12 c m$

$\frac{1}{2} * d i a g o n a l 2 = \frac{1}{2} * 10 = 5 c m$

side of a rhombus = (12)� + (5)� = 169 => AB = 13cm

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1. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Options
A. 153600
B. 143600
C. 13600
D. 16300

4. A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ?
Options
A. Rs. 345.15
B. Rs. 245.1
C. Rs. 234.18
D. Rs. 456.65

5. The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?
Options
A. 14:9
B. 13:12
C. 16:5
D. 17:13

6. The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr?
Options
A. 13.68kmph
B. 31.68kmph
C. 41.68kmph
D. 45.68kmph

7. The base of a triangle of 15cm and height is 12cm. The height of another triangle of double the area having the base 20cm is
Options
A. 16
B. 17
C. 18
D. 20

8. The inner circumference of a circular race track, 14m wide is 440m. Find the radius of the outer circle.
Options
A. 84m
B. 24m
C. 44m
D. 54m

9. If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?
Options
A. 119.21 sq cm
B. 115.395 sq cm
C. 104.214 sq cm
D. 111.241 sq cm

10. A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?
Options
A. Rs. 3600
B. Rs. 3800
C. Rs. 3900
D. Rs. 3700

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