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Area Problems

Area Problems
The ratio of the area of a square to that of the square drawn on its diagonal is

1:2
2;3
4:1
3:1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

atio =  a 2 2 a 2

Area Problems
Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is?

6 meters
12 meters
14 meters
3.5 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters

Area Problems
Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

20 cm
15 cm
18 cm
14 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 6 cm, b = 4 cm and c = 5 cm Required perimeter = a + b + c= 6 + 4 + 5 cm = 15 cm

Area Problems
Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is?

500
300
400
200

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square room = (10)2 = 100 sq m= 100 x (100)2 sq cm= 100 x 100 x 100 sq cmNow, area of tiles = (50)2 = 50 x 50 sq cm? Number of tiles needed = (Area of square room) / (Area of tile)= (100 x 100 x 100) / (50 x 50) = 400Hence, 400 tiles will be needed.

Area Problems
The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?

10
10 ? x
10? x ? 40
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In a triangleSum of two sides is always greater than 3rd side i.e., x < 25 + 15 = 40 .....(i)Difference of two sides is always less than 3rd side i.e., 25 - 15 = 10 < x ...(ii) From Eqs. (i) and (ii) , we get 10 < x < 40

Area Problems
A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is?

162
192
176
184

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the room =(544 x 374) cm2size of largest square tile = H.C.F. of 544 & 374 = 34 cm Area of 1 tile = (34 x 34) cm2? Least number of tiles required = (544 x 374) / (34 x 34) = 176

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