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Area Problems

Area Problems
The ratios of areas of two squares, one having its diagonal double than the other is

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

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
What is the area of a square having perimeter 68 cm?

269 sq cm
289 sq cm
284 sq cm
361 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,4a = 68 [ where a = side]?a = 68/4 = 17 cm? Required area = a2= (17)2 = 289 sq cm

Area Problems
If the diameters of a circle is increased by 100% . Its area is increased by?

100%
300%
200%
400%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original area = ?(d/2)2= (?d2) / 4New area = ?(2d/2)2= ?d2Increase in area = (?d2 - ?d2/4)= 3?d2/4? Required increase percent = [(3?d2)/4 x 4/(?d2) x 100]%= 300%

Area Problems
The breadth of a rectangle is 25 m. The total cost of putting a grass bed on this field was ? 12375, at the rate of ? 15 per sq m. What is the length of the rectangular field?

27 m
33 m
32 m
30 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area to the rectangular field = 12375/15 = 825 sq mAccording to the question, (L x B) = 825 [L = length and B = breadth]? L x 25 = 825 ? L = 825/25 = 33 m

Area Problems
If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is?

3:1
3:4
9:1
1:3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1

Area Problems
The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is?

3 : 4
4 : 3
? 3: 2
9 : 16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16

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