SOLUTION: Andrew has a grid in the shape of an isosceles trapezoid. He has right triangles with an area of 45 square millimeters that fit on the grid. If the length of the bases of the gr

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Andrew has a grid in the shape of an isosceles trapezoid. He has right triangles with an area of 45 square millimeters that fit on the grid. If the length of the bases of the gr      Log On

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Question 963640: Andrew has a grid in the shape of an isosceles trapezoid. He has right triangles with an area of 45 square millimeters that fit on the grid.
If the length of the bases of the grid are 30 centimeters and 15 centimeters and the height is 16 centimeters, how many right triangles can Andrew fit on the grid?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
A=area of trapezoid; b%5B1%5D=base DISABLED_event_one= 30cm; b%5B2%5D=base two=15cm; h=height=8cm
Convert all measurements to millimeters
b%5B1%5D=300mm
b%5B2%5D=150mm
h=80mm
.
A=%28%28b%5B1%5D%2Bb%5B2%5D%29%2F2%29h
A=%28%28300mm%2B150mm%29%2F2%2980mm
A=%28450mm%2F2%29%2880mm%29
A=18000mm%5E2
Area of small triangles is 45 sq mm. so:
18000mm%5E2%2F45mm%5E2=400
ANSWER: 400 of the small triangles will fit on the grid.