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Area Problems

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

8 cm
1.5 cm
12 cm
6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
A park of 10 meters long and 8 meters broad. What is the length of the longest pole that can be placed in the park?

10 metres
13.4 metres
12.8 metres
18 metres

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m

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

13 cm
16 cm
12 cm
14 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

50% increase
25% increase
75% decrease
50% decrease

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original length = x and original breadth = y. Original area = xy. New length = x . 2 New breadth = 3y. New area = ❨ x x 3y ❩ = 3 xy. 2 2 ∴ Increase % = ❨ 1 xy x 1 x 100 ❩% = 50%

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

Rs. 258
Rs. 358
Rs. 558
Rs. 458

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area to be plastered =  2 l + b × h + l × b   = 2 25 + 12 × 6 + 25 × 12 = 744 s q . m   Cost of plastering =  744 × 75 100 = R s . 558

Area Problems
The diagonals of a squares is 4?2 cm. The diagonal of another square whose area is double that of the first square is

8 cm
8?2 cm
4?2 cm
6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diagonal of square = ?2a [a = side]4?2 = ?2 a a = 4 cmNow, area of square = a2 = (42) = 16Side of a square whose area is 2 x 16.a12 = 32 ? a1 = ?32 ?a14?2Now, diagonal of new square = ?2a = ?2x 4 ?2 = 8 cm

MORE MCQ ON Area Problems

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