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
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Correct Answer: 18 cm
Solution : Given: Perimeter = 54 cm According to the question, Length of the longer side = twice of breadth Let the breadth be $x$. length $= 2x$ Perimeter $= 2 (l +b) $ ⇒ $54 = 2( 2x + x)$ ⇒ $54 = 6x$ ⇒ $x = 9$ Thus, length of the longer side $= 2x = ( 2 × 9) = 18$ Hence, the correct answer is 18 cm.
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Question : The perimeter of a rectangle is 30 cm. If the length of the rectangle is twice its breadth, then what is the length of its diagonal?
Option 1: $5 \sqrt{5}\text{ cm}$
Option 2: $3 \sqrt{2} \text{ cm}$
Option 3: $4 \sqrt{5} \text{ cm}$
Option 4: $5 \sqrt{4} \text{ cm}$
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 1: 25 cm
Option 2: 27 cm
Option 3: 26 cm
Option 4: 28 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 2: 18 cm
Option 3: 10 cm
Option 4: 34 cm
Question : The perimeter of a rectangle is 40 cm. If its breadth is 8 cm, then what is the difference between the length and breadth of this rectangle?
Option 1: 3 cm
Option 2: 4 cm
Option 3: 5 cm
Option 4: 6 cm
Question : Each side of a square is 12 cm long. The perimeter of this square is equal to the perimeter of a rectangle whose length is 16 cm. What will be the area of this rectangle?
Option 1: 128 cm2
Option 2: 112 cm2
Option 3: 184 cm2
Option 4: 156 cm2
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