Question
The side of a trinagular roof is to have the same height h and base b^2 as the side of a trapezodial roof.
a. What is the ratio of the area of the triangular roof to the area of the trapezoidal roof?
(For a triangle, A = 1/2b^2h. For a trapezoid, A = b1 + b2/2h.)
b. Compare the ratio from part of question a to what the ratio will be if b1 is doubled for trapezoidal roof and b2 is doubled for both roofs.
a. What is the ratio of the area of the triangular roof to the area of the trapezoidal roof?
(For a triangle, A = 1/2b^2h. For a trapezoid, A = b1 + b2/2h.)
b. Compare the ratio from part of question a to what the ratio will be if b1 is doubled for trapezoidal roof and b2 is doubled for both roofs.
Answers
Steve
(a) want a ratio? Just plug in the numbers for a fraction
(1/2 b^2 h) / ((b1+b2)/2 h)
= b^2/(b1+b2)
For (b), just substitute in new values and see how the ratio changes.
By the way, having b^2 for one figure and b1+b2 for the other plays havoc with the units. Better check your problem again.
(1/2 b^2 h) / ((b1+b2)/2 h)
= b^2/(b1+b2)
For (b), just substitute in new values and see how the ratio changes.
By the way, having b^2 for one figure and b1+b2 for the other plays havoc with the units. Better check your problem again.