An A-frame cabin has a triangular front with a base of 30 ft and a height of 20 ft. If the front is to be glass that costs $3 per square foot, what will the glass cost?
Find the area of the given triangle as step 1.
A = 1/2(base)(height)....This is the general formula used to find the area of a triangle when base and height are given.
A = 1/2(30)(20)
A = 1/2(600)
A = 300 square feet
The front will cost $3 per square feet and we found 300 square feet. So, multiply $3 by 300 square feet and you will have the cost of the glass.
Can you finish?
If the glass costs $3 per square foot for a rectangular piece and $4.75 per square foot for the circular piece, find the total cost of the glass.
To find the cost of the glass for the A-frame cabin, we need to calculate the area of the triangular front and then multiply that by the cost per square foot.
The area of a triangle can be calculated using the formula: Area = 0.5 * base * height.
In this case, the base of the triangular front is given as 30 ft and the height is given as 20 ft. Substituting these values into the formula, we can calculate the area as follows:
Area = 0.5 * 30 ft * 20 ft
Area = 300 square feet
Now that we know the area of the triangular front is 300 square feet, we can find the cost of the glass by multiplying the area by the cost per square foot, which is $3.
Cost of glass = Area * Cost per square foot
Cost of glass = 300 square feet * $3
Cost of glass = $900
Therefore, the glass for the A-frame cabin will cost $900.