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Area Problems

Area Problems
If a regular hexagon is inscribed in a circle of radius, r then its perimeter?

6r
3r
12r
9r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each side of hexagoan = radius of circle ? its perimeter = 6r

Area Problems
If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus?

12 cm
10 cm
5 cm
20 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter of rhombus= 2 ? d12 + d22 = 2 ?(4.8)2 + (1.4)2= 2 ?23.04 + 1.96 = 2 ?25 = 2 x 5 = 10 cm

Area Problems
Square units 13 by 9 of an office area is

127
107
97
117

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Square units 13 by 9 of an office means office of length 13 units and breadth 9 units. Now its area is 13x 9 = 117 square units or units square.

Area Problems
The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height.

26/7 cm
46/7 cm
36/7 cm
56/7 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, area = 40 sq cm, base = 28 cm and height = perpendicular = ?Area = (base x perpendicular) / 2 ? 40 = (28 x perpendicular) / 2 ? perpendicular = 40/14 = 20/7 = 26/7 cm

Area Problems
The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m 2 is?

Rs. 688.80
Rs. 735
Rs. 730.80
Rs. 722.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

s = (13 + 14 + 15 ) / 2 = 21, s-a = 8 , s-b = 7, s-c= 6? Area to be painted = ? [s(s-a) (s-b) (s-c)]=? [21 x 8 x 7 x 6] m2= 84 m2? Cost of painting = Rs. (84 x 8.75) = Rs. 735

Area Problems
if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is?

13 cm
12 cm
14cm
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm

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