Question

Patty made a name tag in the shape of a parallelogram. Reilly made a rectangular name tag with the same base and height. Explain how the areas of the name tags compare.

Answer 1

Step-by-step explanation:

Here, we have to consider 2 shapes :-

• A Parallelogram
• A Rectangle

So, Patty made a name tag in the shape of a parallelogram.

Let us assume it's base and height as b and h respectively.

Reilly made a rectangular name tag with the same base and height,

that means these too, have b and h as length and width.

Now, Let us compare :-

$\tt{Area \ of \ Parallelogram = Base \times Height}$

$\tt{Area \ of \ Rectangle = Length \times Breadth}$

But, here we have:

• Length = Base
• Breadth = Height.

So. if we substitute the values :-

$\tt{Area \ of \ Rectangle = Base \times Height}$

So, Parallelogram and Rectangle have same areas. Jence, the answer.

Answer 2

$\bf \color{red}Solution:$

A parallelogram can be transformed into a rectangle with the same base and height.

So, the area of a parallelogram and a rectangle with the same base and height will have the same area.

Both shapes use the formula A = bh to find the area