Question

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and its long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio?

Answer 1

x^2/12.5^2=360/250

x/12.5=6/5

x=(6*12.5)/5

x=75/5=15

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

Answer 2

Given two similar figures, the ratio of any two corresponding sides measures with the equal in square to the ratio of any two corresponding area measure. Let x be the separation of the two long parallel sides in the larger patio.

x²/12.5² = 360/250
x/12.5 = 6/5
x = (6*12.5)/5
x = 75/5 = 15

That is the corresponding distance on the new patio.