1). 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 
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2). 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 
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3). 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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4). The ratio of length of each equal side and the third side of an isosceles triangle is 3:4. If the area of the triangle is \( \Large \Large 18\sqrt{5} \) sq units, the third side is
A). \( \Large 8\sqrt{2} \)units 
B). 12 units 
C). 16 units 
D). \( \Large 5\sqrt{10} \)units 
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5). Three sides of a triangular field are of length 15 m, 20 m and 25 m long, respectively. Find the cost of sowing seeds in the field at the rate of RS. 5 per Sq m.
A). 750 
B). 150 
C). 300 
D). 600 
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6). A \( \Large \Large \triangle DEF \) is formed by joining the mid points of the sides of \( \Large \Large \triangle ABC\). Similarly, a \( \Large \Large \triangle PQR \) is formed by joining the midpoints of the sides of the \( \Large \Large \triangle DEF \). If the sides of the PQR are of lengths 1, 2 and 3 units, what is the perimeter of the \( \Large \Large \triangle ABC \)?
A). 18 units 
B). 24 units 
C). 48 units 
D). Cannot be determined 
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7). Find the area of a rectangle having 15 m length and 8 m breadth.
A). 120 sq m 
B). 111 sq m 
C). 115 sq m 
D). 125 sq m 
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8). The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?
A). \( \Large (4\times 10^{2}) \)sq m 
B). \( \Large (4\times 10) \)sq m 
C). \( \Large (4\times 10^{4}) \)sq m 
D). \( \Large (4\times 10^{3}) \)sq m 
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9). The area of a rectangular playground is 300 sq m. If the breadth of the field is 15 m, find the length of the field.
A). 20 m 
B). 11 m 
C). 25 m 
D). 10 m 
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10). The ratio of length and breadth of a rectangle is 5 : 3. If length is 8 m more than breadth, find the area of the rectangle.
A). 300 sq m 
B). 250 sq m 
C). 240 sq m 
D). 185 sq m 
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