Both Trapezoids are similar. The area of the smaller trapezoid is 26 ft. square. Which is the best approximation for the area of the larger trapezoid if the base is 20 ft. in the smaller trapezoid base is 16 ft.
Geometry - MathMate, Monday, April 25, 2011 at 11:48am
Area of similar figures is proportional to the square of the length of corresponding sides.
26 ft² : A ft²
= (16)² : (20)²
Cross multiply to get:
16²*A = 26 * 20²
A = (20÷16)² * 26 ft²
= 40.6 ft² (approx.)