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Area Problems

Area Problems
The length of each side of an equilateral triangle having an area of 4?3 cm 2 is?

?3/4 cm
3 cm
4 cm
4/?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm

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

6?3 cm
2?3 cm
5?3 cm
7?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 area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is?

15
60
20
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the side of the square = y cmThen, breadth of the rectangle = 3y/2 cm ? Area of rectangle = (40 x 3y/2) cm2= 60y cm2? 60y = 3y2? y = 20Hence, the side of the square = 20 cm

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

269 sq cm
284 sq cm
289 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 area of a semi-circle be 77 sq m, find its perimeter.

42 m
48 m
36 m
54 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question, Area of semi- circle = 77 m(1/2) x ? x r2 = 77? r2 = (77 x 2 x 7)/22? r = 7m ?Circumference of semi- circle =?r + 2r= ( ? + 2)r = [(22/7) + 2] x 7 = 36 m

Area Problems
The length of hall is (4/3) times its breadth. If the area of hall be 300 square meters, the difference between the length and the breadth is?

None of these
3 meters
15 meters
4 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = b meters.Then, length = 4b/3 meters.? b x 4b/3 = 300? b2 = 300 x 3/4 ? b2 = 225? b = 15Hence, required difference = [(Length) - (Breadth) ]= 4b/3 - b = b/3= 15/3 m= 5 m

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