Mathematics: Find the area of the shape shown below. ( try to break down.)

perpendicular linesStep-by-step explanation:...

Find the area of the shape shown below. ( try to

Ответ:

tyrique86

16.01.2022

Mathematics

Hello!

The answer is:

The area of the shape is: $10units^{2}$

$TotalArea=10units^{2}$

Why?

To solve the problem, we must consider that the shape is formed by two right triangles and a square, so, to calculate its area, we need to calculate the areas of the two triangles and square, and then, add them.

So, we are given the following information:

Smallest triangle:

$base=2units\\height=2units$

Square:

$base=2units\\height=2units$

Largest triangle:

$base=4\\height=2$

Calculations

Smallest triangle:

We can calculate the area of a triangle using the following formula:

$A=\frac{base*height}{2}$

So, substituting, we have:

$A=\frac{2units*2units}{2}=2units^{2}$

Square:

We can calculate the area of a square using the following formula:

A=base*height

So, substituting, we have:

$A=2units*2units=4units^{2}$

Largest triangle:

We can calculate the area of a triangle using the following formula:

$A=\frac{base*height}{2}$

So, substituting, we have:

$A=\frac{4units*2units}{2}=4units^{2}$

Now, calculating the area of the entire shape, we have:

$TotalArea=SmallestTriangleArea+SquareArea+LargestTriangleArea\\\\TotalArea=2units^{2} +4units^{2} +4units^{2} =10units^{2}$

Hence, the area of the shape is: $10units^{2}$

$TotalArea=10units^{2}$

Have a nice day!

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