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Area Problems

Area Problems
The altitude of an equilateral triangle of side 2 ? 3 cm is?

3 cm
? 3/2 cm
? 3/4
1/2 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.

Area Problems
A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is?

5.25 meters
21 meters
10.5 meters
7 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let outer radius be R and inner radius be r.Then from question 2?R - 2?r = 66? 2? (R-r) = 66? (2 x 22)/7 x (R - r) = 66? (R-r) = (66 x 7) / 44= 10.5 m

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

2?3 cm
5?3 cm
7?3 cm
6?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
Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

20 cm
14 cm
18 cm
15 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 6 cm, b = 4 cm and c = 5 cm Required perimeter = a + b + c= 6 + 4 + 5 cm = 15 cm

Area Problems
If area of a square is 64 sq cm, then find the area of the circle formed by the same perimeter.

216/? sq cm
256/? sq cm
215/? sq cm
318/? sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square = 64 sq cm (Side)2 = 64 ? Side = ?64 = 8 cmAccording to the question,? 2?r = 4 x 8 ? r = (4 x 8)/2?? r = 16/?? Area of the circle = ? x (16/?) x (16/?) sq cm = 256/? sq cm.

Area Problems
Find the area of a rectangle having 15m length and 8m breadth.

115 sq m
120 sq m
111 sq m
125 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = Length x Breadth= 15 x 8 = 120 sq m

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