Question

Two figures can have the same area but different perimeters.

• A. True
• B. False

Answer 1

The correct option is A True

It is true. Because the perimeter is the sum of all sides of closed shapes or polygons while the area is just bounded space insides.

Let's take example of parallelogram.

Their corresponding height and sides may different.

Thus, perimeter cannot be equal, even though area is equal

Example:

Parallelogram $1$:

Length of Side $1$ = $6$, Length of Side $2$= $3$, Height with side $1$ as base =$2.5$

So, Area=$6\times 2.5=15$

And perimeter=$2(6+3)=2\times 9=18$

Let, parallelogram $2$:

Length of Side $1$ = $5$, Length of Side $2$ = $3.5$, Height with side $1$ as base =$3$

So, Area=$5\times 3=15$

And perimeter=$2(5+3.5)=2\times 8.5=17$

Hence the given option is True.