Homework Help: Geometry

Posted by Nesha on Monday, April 25, 2011 at 11:11am.

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.)

Answer this Question

Related Questions

geometry - The trapezoids are similar. The area of the smaller trapezoid is 564m...
geometry - The trapezoids are similar. The area of the smaller trapezoid is 564m...
Geometry - 1. What is the base and the height of the rectangle if the area is ...
geometry - the ratio of the perimeter of two similar squares is 5 to 4. If the ...
Geometry - I missed this problem on my test. I had 23 ft and the correct answer ...
geometry - The area of the larger of two similar polygons is 729 square ...
math - A trapezoid has bases of 15 ft. and 9 ft. and a height of 8 ft. Find its ...
geometry - Two corresponding sides of similar polygons are in the ratio of 2 : 7...
geometry - Two corresponding sides of similar polygons are in the ratio of 8:7. ...
Math - The ratio of the perimeters of two similar squares is 5 to 4. If the area...

For Further Reading

First Name:
School Subject:
Answer: