Question : The length and breadth of a rectangular field are in the ratio of 4 : 3. If the perimeter of the field is 70 m, then what will be the breadth (in metres)?
Option 1: 12
Option 2: 15
Option 3: 18
Option 4: 24
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Correct Answer: 15
Solution : Given: Ratio of length and breadth = 4 : 3 Perimeter = 70 m Let the length be $4x$ and breadth be $3x$. Perimeter of rectangle = 2 × (Length + Breadth) $⇒ 70=$ 2 × (Length + Breadth) $⇒2×(4x + 3x) = 70$ $⇒7x= 35$ $\therefore x = 5$ m $\therefore$ Breadth = $3x$ = 3 × 5 = 15 m Hence, the correct answer is 15.
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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 perimeter of the top of a rectangular table is 56 metres and its area is 192 m2. What is the length of its diagonal?
Option 1: 22 metres
Option 2: 20 metres
Option 3: 16 metres
Option 4: 18 metres
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
Question : A train completely crosses a bridge of length 80 m in 15 seconds. Find the length of the train if its speed is 72 km/hr.
Option 1: 300 metres
Option 2: 220 metres
Option 3: 150 metres
Option 4: 270 metres
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
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