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Area Problems

Area Problems
The altitude of an equilateral triangle of side 2 ? 3 cm is?

? 3/4
? 3/2 cm
3 cm
1/2 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.

Area Problems
If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is?

19 cm2
18 cm2
9 cm 2
12 cm 2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2

Area Problems
A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

100 meters
66.66 meters
(100/ ? 3 ) meters
33 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = b meters. then, length = 3b/2 meters ? b x 3b/2 = 2/3 X 10000? b2 = (4 x 10000)/9? b = ( 2 X 100)/3 m ? Length = (3/2) x (2/3) x 100 m= 100 m

Area Problems
The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?

3 times
5 times
2 times
4 times

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4

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 side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle?

265 sq cm
255 sq cm
235 sq cm
245 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm

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