The three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain.
1 answer:
Well the formula for the area of a trapezoid is as follows:
A=
where a and b are both base measures (a trapezoid has a top and bottom base).
Therefore, if all three have the same base length (the top and bottom lengths themselves being different yet the same on all three), the trapezoid with the greatest angle measure would have the greatest are. This is because with a greater angle measure comes a greater height (Pythagorean theorem).<span />
A=
where a and b are both base measures (a trapezoid has a top and bottom base).
Therefore, if all three have the same base length (the top and bottom lengths themselves being different yet the same on all three), the trapezoid with the greatest angle measure would have the greatest are. This is because with a greater angle measure comes a greater height (Pythagorean theorem).<span />
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Answer:
The ratio of the areas will be will be 1 : 9
Step-by-step explanation:
The linear scale factor represents a ratio that is used to multiply the dimensions of objects so that accurate geometries can be transferred between real-life and paper.
The linear scale factor is quite different from the area scale factor but related to it in the following way:
The area factor can be obtained by squaring the linear scale factor.
This is Area factor = (Linear scale factor) ^2.
Linear scale factor = (1:3)
Area factor =
Area factor will be 1: 9
Thus, when the linear scale factor is 1:3 the area factor will be 1 : 9