Question

area of a triangle is x cm^2.find the area of the triangle if its each side is doubled​

Answer 1

Answer:

2x cm²

Explanation:

First, we take,

The Base (b) of the triangle is a cm     And,

The Height (h) of the triangle is b cm

We know that,

Area (A) of a triangle is:

Area (a) = $\frac{1}{2}$ × Base (b) × Height (h)

              or, (b×h)/2

So, accordingly,

the area would be:

A = (a×b)/2 cm²                                                  [case (i)]

Now, it's said that:

Each side is doubled, so,

The Base (b) of the triangle will be 2a cm     And,

The Height (h) of the triangle will be 2b cm

So, now accordingly,

A' = (2a×2b)/2 cm²

  = 2(a×b)/2 cm²       [we have common out a '2' from (2a×2b) ]

  = (a×b) cm²                                                     [case (ii)]

Now, we can write that,

From, 'case (i)',

A = x cm² = (a×b)/2 cm²

And from, 'case (ii)',

A' =  (a×b) cm²

Now, we have to figure out the area of A'

So, if we put the '2' on the left side of the equation from 'case (i)', we may find:

2x = (a×b) cm²     [which is also our A']

                                 (ANS)

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