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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

0.375 m2
0.75 m2
1.5 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
If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals.

20%
15%
18%
10%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%

Area Problems
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

10.08%
20%
28%
10%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original length = x and original breadth = y. Decrease in area = xy - ❨ 80 x x 90 y ❩ 100 100 = ❨ xy - 18 xy ❩ 25 = 7 xy. 25 ∴ Decrease % = ❨ 7 xy x 1 x 100 ❩% = 28%

Area Problems
The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet?

37
13(1/2)
5(1/4)
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other side = (15 / 2) 2 - (9 / 2) 2 ft = (225 / 4) - (81 / 4) ft = 144 / 4 ft = 6 ft Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

Area Problems
The area of a circular field is 13.86 hectares . The cost of fencing it at the rate of 20 paisa per meter is?

Rs. 277.20
Rs. 198
Rs. 324
Rs. 264

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 22/7 x r2 = 13.86 x 10000? r2 = (13.86 x 10000 x 7) / 22? r = 210 m ? Circumference = [2 x (22/7) x 210 ] m = 1320 m Cost of fencing = Rs. (1320 x 20)/100= Rs . 264

Area Problems
The area of a trapezium is 384 sq.cm 2. If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is?

20 cm
30 cm
36 cm
24 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the sides of trapezium be 5k and 3k, respectively According to the question, (1/2) x [(5k + 3k) x 12] = 384? 8k = (384 x 2)/12 = 64 ? k = 64/8 = 8 cmLength of smaller of the parallel sides = 8 x 3 = 24 cm

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