payton cut out two shapes, as shown, that she will later put together to resemble a house. what is the total…

payton cut out two shapes, as shown, that she will later put together to resemble a house. what is the total area of the two shapes? 20 square units 21 square units 22 square units 23 square units

payton cut out two shapes, as shown, that she will later put together to resemble a house. what is the total area of the two shapes? 20 square units 21 square units 22 square units 23 square units

Answer

Explanation:

Step1: Identify the shapes

The two - shapes are triangles.

Step2: Recall the area formula for a triangle

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step3: Calculate the area of the first triangle

For the first triangle, assume the base $b = 4$ and height $h= 4$. Then $A_1=\frac{1}{2}\times4\times4 = 8$ square units.

Step4: Calculate the area of the second triangle

For the second triangle, assume the base $b = 6$ and height $h = 5$. Then $A_2=\frac{1}{2}\times6\times5=15$ square units.

Step5: Calculate the total area

The total area $A = A_1+A_2=8 + 15=23$ square units.

Answer:

23 square units