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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

1.5 m2
0.75 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 ratio of the area of the circumcircle and the incircle of a square is

?2 : 1
2 : 1
1 : ?2
1 : 2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of the areas of the circumcircle and incircle of a square = [(Diagonal)2?] / [(Side)2?]= [(Side x ?2)2] / (Side)2 = 2/1 or 2 : 1

Area Problems
One side of a parallelogram is 14 cm. Its distance from the opposite side is 16 cm. The area of the parallelogram is?

56? sq. cm
112 sq. cm
224 sq. cm
210 sq. cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of parallelogram = Side of parallelogram x distance from the opposite side= 14 x 16 cm2= 224 cm2

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
184
192
176

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

Area Problems
A wheel make 4000 revolution in moving a distance of 44 km. Find the radius of the wheel.

27 m
25 m
1.75 m
28 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance covered in 1 revolution = (44 x 1000) / 4000 = 11 mAccording to the question, 2?r = 11 ? (44/7) x r = 11? r = (11 x 7) / 44 = 1.75 m

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
(100/ ? 3 ) meters
66.66 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

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