Question : The difference between the length and breadth of a rectangle is 40 metres. If its perimeter is 96 metres, then what will be the area of the rectangle?
Option 1: 254 m2
Option 2: 110 m2
Option 3: 176 m2
Option 4: 152 m2
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Correct Answer: 176 m2
Solution : Let $l$ be the length and $b$ be the breadth. $l-b = 40$ ⇒ $l = 40+b$ ---------(i) Perimeter = 96 m $2(l+b) = 96$ ⇒ $2(40+b+b) = 96$ ⇒ $40+2b = 48$ ⇒ $2b = 48-40 = 8$ ⇒ $b = 4$ ⇒ $l = 40+4 = 44$ Area = $lb = 4×44 = 176$ Hence, the correct answer is 176 m2.
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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
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Option 1: 22 metres
Option 2: 20 metres
Option 3: 16 metres
Option 4: 18 metres
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Option 1: 420 m2
Option 2: 350 m2
Option 3: 590 m2
Option 4: 550 m2
Question : The perimeter of the top of a rectangular table is 42 metres and its area is 108 metres2. What is the length of its diagonal?
Option 1: 12 metres
Option 2: 15 metres
Option 3: 11 metres
Option 4: 9 metres
Question : The length of each diagonal of a rectangle is 50 cm. If its breadth is 14 cm, then what will be the area of the rectangle?
Option 1: 832 cm2
Option 2: 716 cm2
Option 3: 784 cm2
Option 4: 672 cm2
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