Question : The perimeter of an equilateral triangle is 40 cm more than the length of each of its sides. What is the length of each side of this equilateral triangle?
Option 1: 10 cm
Option 2: 30 cm
Option 3: 15 cm
Option 4: 20 cm
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Correct Answer: 20 cm
Solution : Let $x$ be the length of the sides of the equilateral triangle. The perimeter of the equilateral triangle = $3x$ So, $3x = 40 + x$ ⇒ $2x = 40$ ⇒ $x=20$ Hence, the correct answer is 20 cm.
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Question : The perimeter of a square is 90 cm more than the length of each of its sides. What is the length of each side of the square?
Option 1: 25 cm
Option 3: 60 cm
Option 4: 45 cm
Question : The lengths of the three sides of a triangle are in the ratio of 2 : 2 : 3. If the perimeter of the triangle is 42 cm, then what is the length of the largest side?
Option 1: 12 cm
Option 2: 18 cm
Option 3: 20 cm
Option 4: 15 cm
Question : In an isosceles triangle, if the ratio of the equal side and unequal side is 5 : 7 and its perimeter is 34 cm, then what is the length of the equal side?
Option 1: 14 cm
Option 3: 10 cm
Option 4: 34 cm
Question : If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle?
Option 2: 9 cm
Option 3: 27 cm
Option 4: 18 cm
Question : The ratio of the sides of a triangle is 3 : 3 : 4. If the area of a triangle is $32 \sqrt{5}$ cm2, then what is the length of the equal sides?
Option 2: 16 cm
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