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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
1.5 m2
0.375 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 length of a rectangle is double while its breadth is halved. What is the percentage change in area?

50
No change
75
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .

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?

112 sq. cm
224 sq. cm
56? 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
If the sides of a squares is increased by 25%, then the area of the squares will be increased by

50%
56.25%
53.75%
125%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%

Area Problems
The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be?

37
39
38
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38

Area Problems
A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is?

Rs. 700
Rs. 600
Rs. 800
Rs. 500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of verandah = [(25 x 20) -(20 x 15)] m2= 200 m2? Cost of flooring = Rs. (200 x 3.50)= Rs. 700

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