Question

If the sides of a triangle are doubled, then is area

• A. remains the same
• B. becomes doubled
• C. becomes three times
• D. becomes four times

Answer 1

Answer: (D)

becomes four times

Let, the base and height of triangle $=b$ and $h$

And area of triangle$=A$

Now, $A=\frac{1}{2}.b.h$

If the sides of a triangle are doubled, then

Base $=2.b$

Height $=2.h$

Area $=\frac{1}{2}.2b.2h$

$=4.(\frac{1}{2}.b.h)$

If the sides of a triangle are doubled, then area is is $4$ times

Hence, this is the answer.