Question

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

Answer 1

Answer:56

Explanation:

Answer 2

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=(base*height)/(2)`

So, substituting, we have:

`A=(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=(base*height)/(2)`

So, substituting, we have:

`A=(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!