Question

The length of a rectangle is $2$ more than thrice of its breadth. If the breadth of the rectangle is $2$ units what is its area?

• A. $12$
• B. $20$
• C. $64$
• D. $16$

Answer 1

Answer: (D)

$16$

Let length $=l$ and breadth $=b$
So, $l=3b+2$
Thus, a linear equation is $2$ variables, so for every value of $b$, there is a value of $l$. Hence, we can have infinitely many rectangles.
If $l=5,b=\frac{l-2}{3}=\frac{5-2}{2}=1$

If $b=2,l=3b+2=3\times 2+2=8$
Area $=lb=8\times 2=16$