Question

determine the area of the triangle. base: 12 in height: 6 in determine the area of the triangle. base: 20.5 ft height: 10 ft determine the area of the parallelogram. base: 10 in height: 5 in determine the area of the parallelogram. base: 45 in height: 3 in

Explanation:

Step1: Recall triangle area formula

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

Step2: Calculate first triangle area

For the first triangle with $b = 12$ in and $h=6$ in, $A_1=\frac{1}{2}\times12\times6 = 36$ in².

Step3: Calculate second triangle area

For the second triangle with $b = 20.5$ ft and $h = 10$ ft, $A_2=\frac{1}{2}\times20.5\times10=102.5$ ft².

Step4: Recall parallelogram area formula

The formula for the area of a parallelogram is $A = bh$, where $b$ is the base and $h$ is the height.

Step5: Calculate first parallelogram area

For the first parallelogram with $b = 10$ in and $h = 5$ in, $A_3=10\times5 = 50$ in².

Step6: Calculate second parallelogram area

For the second parallelogram with $b = 45$ in and $h = 3$ in, $A_4=45\times3=135$ in².

Answer:

First - triangle area: 36 in²
Second - triangle area: 102.5 ft²
First - parallelogram area: 50 in²
Second - parallelogram area: 135 in²