Question

julia installs a triangular skylight on the roof of a business. the triangles base measures 8 feet, and the height measures 10 feet. julia charges $30 per square foot to install the skylight. how much does julia charge the business? enter your answer in the box.

Explanation:

Step1: Calculate the area of the triangular skylight

The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$. Given that the base $b = 8$ feet and the height $h=10$ feet.
Substitute the values into the formula: $A=\frac{1}{2}\times8\times10$.
First, calculate $8\times10 = 80$, then $\frac{1}{2}\times80=40$ square - feet.

Step2: Calculate the cost of installation

Julia charges $30$ per square - foot.
If the area $A = 40$ square - feet, then the cost $C=30\times A$.
Substitute $A = 40$ into the formula: $C = 30\times40=1200$.

Answer:

1200