(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.
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.
1 answer
3 answers