6. The perimeter ratio of two similar pentagons is . The area of the smaller pentagon is 500 units?. Find the area of the larger pentagon.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.3: More About Regular Polygons
Problem 10E: In a regular polygon with each side of length 6.5 cm, the perimeter is 130 cm. How many sides does...
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Simplify radicals and leave answers in terms of π. Round to the nearest hundredth, when appropriate

6. The perimeter ratio of two similar pentagons is .
The area of the smaller pentagon is 500 units?.
Find the area of the larger pentagon.
Area of larger pentagon
Transcribed Image Text:6. The perimeter ratio of two similar pentagons is . The area of the smaller pentagon is 500 units?. Find the area of the larger pentagon. Area of larger pentagon
Expert Solution
Step 1

we have given the ratio of the perimeter of a pentagon. 

Let the side of one pentagon be 

let the side of the second pentagon is

 

 

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