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Area Problems

Area Problems
The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side.

3 cm
?3 cm
9 cm
3?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm

Area Problems
If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is?

19 cm2
12 cm 2
18 cm2
9 cm 2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2

Area Problems
The ratio between the lenght and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the parimeter of the rectangle?

25 cm
35 cm
40 cm
30 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = 2x and breadth = xAccording to the question, 2x - x = 5 ? x = 5? Required perimeter = 2(2x + x) = 6x= 30 cm

Area Problems
In ? ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals?

5.6 cm
4 cm
5 cm
5.5 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We know that area of triangle = ( base x height ) / 2So area of triangle = (BC x AD) / 2 = (AC x BE) / 2 ? (10 x 4.4) / 2 = (11 x h) / 2? h= (10 x 4.4)/11 = 4 cm

Area Problems
The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is?

50? sq. units
None of theas
25? sq. units
100? sq. units

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = (Diagonal)2 / 2 = 50? Diagonal = 10 units ? Radius of required circle = 5 unitsIts area = [? x (5)2 ] cm2= 25? units2

Area Problems
The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height.

46/7 cm
56/7 cm
36/7 cm
26/7 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, area = 40 sq cm, base = 28 cm and height = perpendicular = ?Area = (base x perpendicular) / 2 ? 40 = (28 x perpendicular) / 2 ? perpendicular = 40/14 = 20/7 = 26/7 cm

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