# Area and perimeter Questions and answers

Topics

1). Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.
 A). $$\Large 8\sqrt{63}$$sq cm B). $$\Large 5\sqrt{63}$$sq cm C). $$\Large 6\sqrt{53}$$sq cm D). $$\Large 7\sqrt{93}$$sq cm
2). The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height
 A). $$\Large 3\frac{6}{7}$$cm B). $$\Large 4\frac{6}{7}$$cm C). $$\Large 2\frac{6}{7}$$cm D). $$\Large 5\frac{6}{7}$$cm
3). The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?
 A). $$\Large 10 < x < 40$$ B). $$\Large 10 \le x \le 40$$ C). $$\Large 10 \le x < 40$$ D). $$\Large 10 < x \le 40$$
4). A triangle with three equal sides has its area equal to $$\Large \Large 3\sqrt{3}$$sq cm. Find its perimeter.
 A). $$\Large 6\sqrt{3}$$cm B). $$\Large 2\sqrt{3}$$cm C). $$\Large 5\sqrt{3}$$cm D). $$\Large 7\sqrt{3}$$cm
5). The sides of a triangle area in the ratio of $$\Large \frac{1}{3}:\frac{1}{4}:\frac{1}{5}$$ and its perimeter is 94 Cm.Find the length of the smallest side of the triangle.
 A). 18 cm B). 22.5 cm C). 24 m D). 27 cm

6). The area of an equilateral triangle is $$\Large \Large 4\sqrt{3}$$sq cm. Find the length of each side of the triangle
 A). 3 cm B). $$\Large 2\sqrt{2}$$cm C). $$\Large 2\sqrt{3}$$cm D). 4 cm
7). The sides of a right angled triangle are equal to three consecutive numbers expressed in centimeters. What can be the area of such a triangle?
 A). $$\Large 6cm^{2}$$ B). $$\Large 8cm^{2}$$ C). $$\Large 10cm^{2}$$ D). $$\Large 12cm^{2}$$
8). If the area of an equilateral triangle is x and its perimeter is y. then which one of the following is correct?
 A). $$\Large y^{4}=432x^{2}$$ B). $$\Large y^{4}=216x^{2}$$ C). $$\Large y^{2}=432x^{2}$$ D). None of these
9). The area of an isosceles $$\Large \triangle ABC$$ with AB = AC and altitude AD = 3 cm is 12 sq cm. What is its perimeter?
 A). 18 cm B). 16 cm C). 14 cm D). 12 cm
10). The area of an equilateral triangle is $$\Large \Large \frac{\sqrt{243}}{4}$$sq cm. Find the length of its side.
 A). 3 cm B). $$\Large 3\sqrt{3}$$cm C). 9 cm D). $$\Large \sqrt{3}$$cm
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