math
posted by darnell darling on .
Two 7sided 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?

7side 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