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
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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