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Area Problems

Area Problems
The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

14 cm
16 cm
12 cm
13 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let height =x Then, base =2x 2x * x = 338 =>x=13

Area Problems
A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. (? = 22/7)

9856 m2
8956 m2
4928 m2
9865 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the radius of the park be r, then?r + 2r = 288(? + 2)r = 288? [(22/7) + 2]r = 288? r = (288 x 7)/36 = 56 ? Area of the park = (1/2)?r2= (1/2) x (22/7) x 56 x 56= 4928

Area Problems
Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is?

x/2
4x
2x
x

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let h be the altitude of triangle.So area of triangle = (1/2)xh area of square = x2From question area of square = area of triangle x2 = (1/2)xh ? h = (2x2)/x = 2x

Area Problems
What is the diameter of the circle having 3 cm radius?

8 cm
1.5 cm
6 cm
12 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm

Area Problems
A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

Rs. 456
Rs. 568
Rs. 558
Rs. 458

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area to be plastered = [2(l + b) x h] + (l x b) = {[2(25 + 12) x 6] + (25 x 12)} m2 = (444 + 300) m2 = 744 m2. ∴ Cost of plastering = Rs. ❨ 744 x 75 ❩ = Rs. 558

Area Problems
Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

1.967
1.767
1.567
1.867

ANSWER DOWNLOAD EXAMIANS APP
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