SOLUTION: A construction 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 $3.00 a sq ft what will the glass cost. Tha

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A construction 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 $3.00 a sq ft what will the glass cost. Tha      Log On

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Question 192129: A construction 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 $3.00 a sq ft what will the glass cost.
Thank you Debbie Langston
dlangston4@woh.rr.com

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, find the area of the triangle.


A=%28bh%29%2F2 Start with the area of a triangle formula


A=%2830%2A20%29%2F2 Plug in b=30 and h=20


A=600%2F2 Multiply


A=300 Divide


So the area of the triangle is 300 square feet.



Now multiply the area of the rectangle by the cost per square foot to get:

300%2A3=900


So it will cost a total of $900 to cover the triangular front with glass.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
In this problem, first, you need to find the area of the triangular front face of the cabin, then you need to multiply the cost per square foot of the glass by the number of square feet in the area.
The area of a triangle is found by:
A+=+%281%2F2%29b%2Ah where b = length of the base and h = the height of the triangle.
In this problem, b = 30ft. and h = 20ft. so you make the appropriate substitutions into the formula above.
A+=+%281%2F2%29%2830%29%2820%29
A+=+%281%2F2%29%28600%29
A+=+300sq.ft.
To find the cost (C) of 300 sq.ft. of glass at $3.00 per square foot, you will multiply the area (300 sq.ft.) by the cost ($3.00 per sq.ft.),
C+=+%28300%29%283%29
C+=+900
So the cost of the glass for the front face of the cabin is $900.00