Question

The area of a $6$ meter wide road outside a garden in all its four sides is $564$ sq m. If the length of the garden is $20m$. What is its breadth?

• A. $15m$
• B. $20m$
• C. $25m$
• D. $30m$

Answer 1

Answer: (A)

$15m$

Let $x$ m be the breadth of the garden.
Area of the road $=$ Area of outer rectangle $-$ Area of inner rectangle
$\Rightarrow 32(x+12)-20\times x=564$
$\Rightarrow 32x+384-20x=564$
$\Rightarrow 12x=564-384=180$
$\Rightarrow x=15$
The breadth is $15m$.