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 2: 30 cm
Option 3: 60 cm
Option 4: 45 cm
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Correct Answer: 30 cm
Solution : Let the length of each side of the square be $a$. We know that, Perimeter of a square = 4a According to the question, $4a = a + 90$ ⇒ $3a = 90$ ⇒ $a=30$ Hence, the correct answer is 30 cm.
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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 3: 15 cm
Option 4: 20 cm
Question : The perimeter of a square is 36 cm. What is the length of each side of this square?
Option 1: 9 cm
Option 2: 6 cm
Option 3: 8 cm
Option 4: 12 cm
Question : The total surface area of a closed cube is 128 cm2 more than the area of a square. If the length of each side of the cube is 8 cm, then what is the length of each side of the square?
Option 1: 16 cm
Option 2: 12 cm
Option 3: 18 cm
Option 4: 9 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 1: 14 cm
Option 2: 9 cm
Option 3: 27 cm
Option 4: 18 cm
Question : The perimeter of a rectangle is 68 cm. If the area of the rectangle is 240 cm2, then what is the length of each of its diagonals?
Option 2: 27 cm
Option 3: 26 cm
Option 4: 28 cm
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