Question

The perimeter of the regular decagon P is 8 times the perimeter of the regular octagon Q. Each edge of the regular octagon Q is 10 cm long. How long is each edge of the regular decagon P?

Answer 1

The options for this question are missing: here are the options:

A 8 cm

B 10 cm

C 40 cm

D 60 cm

E 64 cm

The correct answer to this question is option E

The reason behind is that the octagon has 8 edges.

If we find out the perimeter of the rectangular octagon we will multiply 8 cm x 10 cm = 80 cm

Now the perimeter of the rectangular decagon P will be eight times that of the rectangular octagon Q and it will be this:

8 × 80 cm, that is, 640 cm

The decagon consists of 10 edges. so the length of the edge of Q will be

(640+10) cm = 64 cm

Answer 2

Answer:

E

Step-by-step explanation:

Given :P=8Q

Edge of regular octagon is given as 10

So peremeter of octaon will be 10x8=80

therefore P=8x80

therefore P=640

so one side of decagon will be 640/10

= 64 cm

option (E)