A trapezoid has an area of one and a perimeter of five. If this pattern continues, what is the perimeter of a large trapezoid with an area of 96

3 answers

I assume by "if this pattern continues", you mean that the two figures are similar, or else we can't find anything about the new perimeter.

The area of two similar figures is proportional to the square of their corresponding sides.
Since perimeter is linear, .....

1/5^2 = 96/x^2
x^2= 96(25) = 2400
x = √2400 = 20√6 or appr 49
49
Reiny is weird