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Area Problems

Area Problems
Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

0.75 m2
1.5 m2
0.375 m2
1.5 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2

Area Problems
The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by

11.25%
10.5 %
12.5%
10.25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Increase in circumference of circle = 5%? Increase in radius is also 5%.Now, increase in area of circle = 2a + (a2/100) %Where, a = increase in radius= 2 x 5 + (5 x 5)/100 % = 10.25%

Area Problems
The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas.

9 : 4
9 : 5
9 : 7
9 : 2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4

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?

300
500
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 diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is?

136 meters
63 meters
99 meters
198 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance travelled in 1 revolution = circumference of the wheel = ?d= ( 22/7 ) x 63= 198 cmSo the distance travelled in 100 revolutions = 100 x distance travelled in 1 revolution = 100 x 198 cm= 19800 cm = 198 m

Area Problems
The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle.

3.2 cm
3.5 cm
3 cm
6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original radius be r.Then, according to the questions,? (r + 1)2 - ?r2 = 22? ? x [(r + 1)2 - r2] = 22? (22/7) x (r + 1 + r ) x (r + 1 - r) = 22? 2r + 1 = 7 ? 2r = 6 ? r = 6/2 = 3 cm

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