Question

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?

Explanation:

Step1: Identify the two shapes

The two shapes are a triangle and a parallelogram.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is $A_{\triangle}=\frac{1}{2}bh$. Assume the base $b = 6$ and height $h= 4$. Then $A_{\triangle}=\frac{1}{2}\times6\times4 = 12$ square - units.

Step3: Calculate the area of the parallelogram

The formula for the area of a parallelogram is $A_{||}=bh$. Assume the base $b = 5$ and height $h = 2$. Then $A_{||}=5\times2=10$ square - units.

Step4: Calculate the total area

The total area $A = A_{\triangle}+A_{||}=12 + 10=22$ square - units.

Answer:

22 square units