Question

Two 7-sided polygons are similar. A side of the larger polygon is 6 times as long as the corresponding side of the smaller polygon. What is the ratio of the area of the larger polygon to the area of the smaller polygon?

Answers

Bosnian
7-side polygon is heptagon or septagon.
Go to wikipedia and type
"heptagon"
On en.wikipedia you have all about heptagon.

Area is:

A=3.633912444*a^2
a is side lenght

Area of smaller heptagon is:

A1=3.633912444*(a1)^2
a1 lenght side of smaller polygon

Larger side lenght is:
a2=6*a1
a2 lenght side of larger polygon

A2=3.633912444*(a2)^2
=3.633912444*(6*a1)^2
=3.633912444*36*(a1)^2

(A2/A1)=36

Related Questions