Question

Find the area of the shape shown below. ​ ​

Answer 1

12 cm²

Explanation:

Area of triangle: bh/2 = (2)(3)/2 = 3

Area of square: bh = (2)(3) = 6

Total area of the shape = 2 triangles + 1 square

Total area = 2(3) + 6 = 12 cm²

I hope this helps!

Answer 2

12

Explanation:

You can find the area of the shape 2 different ways.

I'll show you both ways.

First Way: find the area of each individual shape that makes it up then add them together

We can find the area by finding the area of the rectangle and then the two triangles and then adding the two multiples together

Area of a rectangle = length × width

Length = 3 and width = 2

So area = 3 × 2 = 6

Now to find the area of the triangles

Area of a triangle = 1/2bh

Where b = base length and h = height

The base length is 2 and the height is 3

So area = 1/2 × 2 × 3 = 3

There are two triangles and they both have the same dimensions

So the area of both triangles = 2 × 3 = 6

Finally we add the areas together to get the total area

Total Area = 6 + 6 = 12cm²

Second way : Use the area of a trapezoid formula:

The shape shown is a trapezoid so we could also use the area of a trapezoid formula.

Formula :
`A=(a+b)/(2) h`

where a and b = base lengths and h = height

The base lengths appear to be 2 and 6 and the height is 3

So a = 2 , b = 6 and h = 3

Which means
`A=(2+6)/(2) 3`

Simplify addition

`A=(8)/(2) 3`

simplify division

A = (4)3

Then multiply
A = 12cm²