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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
9r
12r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is?

15 m
17 m
20 m
16 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = a metres and breadth = b metres Then, 2(a+b)= 46 ? (a+b) =23 and ab =120 ? Diagonal = ?a2 + b2?(23)2-2 x 120?289 = 17 m

Area Problems
The length of each side of an equilateral triangle having an area of 4?3 cm 2 is?

3 cm
4 cm
4/?3 cm
?3/4 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm

Area Problems
In ? ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals?

4 cm
5 cm
5.5 cm
5.6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We know that area of triangle = ( base x height ) / 2So area of triangle = (BC x AD) / 2 = (AC x BE) / 2 ? (10 x 4.4) / 2 = (11 x h) / 2? h= (10 x 4.4)/11 = 4 cm

Area Problems
Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m.

? 1750
? 1300
? 1280
? 1500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the carpet = Area of the room = 8 x 6 = 48 sq mWidth of the carpet = 75/100 = 3/4 mLength of the carpet = 48 x (4/3) = 16 x 4 = 64 m? Cost of carpeting = 64 x 20 = ? 1280

Area Problems
If the area of a semi-circle be 77 sq m, find its perimeter.

36 m
54 m
48 m
42 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question, Area of semi- circle = 77 m(1/2) x ? x r2 = 77? r2 = (77 x 2 x 7)/22? r = 7m ?Circumference of semi- circle =?r + 2r= ( ? + 2)r = [(22/7) + 2] x 7 = 36 m

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