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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?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The area of an equilateral triangle whose side is 8 cms is?

21.3 cm2
16?3 cm2
4?3 cm2
64 cm2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2

Area Problems
Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.

5?63 sq cm
8?63 sq cm
7?93 sq cm
6?53 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 8 cm, b = 10 cm and c = 12 cm We know, that s = (a + b + c)/2 = (8 + 10 + 12)/2= 30/2 = 15 cm ? (s - a) = (15 - 8) = 7 cm (s - b) = (15 - 10) = 5 cm (s - c) = (15 - 12) = 3 cm ? Area = ?s(s - a) (s - b) (s - c)= ?15 x 7 x 5 x 3= ?1575= ?25 x 63= 5?63 cm

Area Problems
Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

14 cm
18 cm
20 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
The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height.

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