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Area Problems

Area Problems
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

5%
6%
4%
9%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.

8 cm and 9 cm
10 cm and 8 cm
6 cm and 10 cm
14 cm and 6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the third side be x.According to the question,x + 20 = 26? x = 26 - 20 = 6 cm ? Each equal side = 20/2 = 10 cm

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

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

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

Area Problems
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle

44
33
84
22

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is?

168 cms
126 cms
42 ? 3 cms
72.6 cms

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 22/7 x r2 = 462? r2 = (462 x 7) /22 = 147? r = 7?3 cm ? Height of the triangle = 3r = 21?3 cmNow, ? a2 = a2/4 + (3r)2? 3a2/4 = (21?3)2? a2 = (1323 x 4)/3? a = 21x 2 = 42 cm? Perimeter = 3a = 3 x 42=126 cm

Area Problems
How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

5
6
8
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.

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