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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
2:1
4:1
3:1

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter .

7?3 cm
6?3 cm
2?3 cm
5?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,?3a2/4 = 3?3 [ side = a, and area = ?3a2/4] ? a2/4 = 3 ? a2 = 3 x 4 ? a = 2?3? Required perimeter = 3a =3 x 2?3 = 6?3 cm

Area Problems
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

1520 m2
2420 m2
2520 m2
2480 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103. Solving the two equations, we get: l = 63 and b = 40. ∴ Area = (l x b) = (63 x 40) m2 = 2520 m2

Area Problems
The length of a plot is four times its breath. A playground measuring 1200 square meters occupies one third of the total area of a plot . what is the length of the plot in meters?

30
None of these
60
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the plot = (3 x 1200) m2= 3600 m2Let breadth = y metersThen Length = 4y meters,Now area = 4y x y = 3600 m2? y2 = 900 m2? y = 30 m? Length of plot = 4y m= (4 x 30) m=120 m

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

56 m
77 m
70 m
84 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m

Area Problems
The diagonals of a squares is 4?2 cm. The diagonal of another square whose area is double that of the first square is

6 cm
8?2 cm
4?2 cm
8 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diagonal of square = ?2a [a = side]4?2 = ?2 a a = 4 cmNow, area of square = a2 = (42) = 16Side of a square whose area is 2 x 16.a12 = 32 ? a1 = ?32 ?a14?2Now, diagonal of new square = ?2a = ?2x 4 ?2 = 8 cm

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