Question

If every side of a triangle is doubled, then the area of the new triangle is 'K' times the area of the old one. The value of K is

• A. 2
• B. 3
• C. $\sqrt{2}$
• D. 4

Answer 1

The correct option is D 4

Let the area of the triangle be $x$.

We know that the area of the triangle

$=\frac{1}{2}\times Height\times Base$

$x=\frac{1}{2}\times Height\times Base$ $........\left(1\right)$

According to the question,

$Kx=\frac{1}{2}\times 2\times Height\times 2\times Base$

$Kx=4\times x$

$K=4$

Hence, this is the answer.