Question

A regular polygon has an even number of sides. If the product of the length of its side and the distance between two opposite sides is of its area, find the number of sides it has

Answer 1

Answer: 16

Step-by-step explanation:

s * d = 1/4 (area of polygon) //d= distance b/w two opposite sides of polygon

s * 2a = 1/4( a*p)/2 // a= apothem , p=perimeter

s * 2a = 1/4(a*s*n)/2 // s= length of side of polygon, n= no. of sides

n=16.

Answer 2

Dear Student,

◆ Answer -

Number of sides the regular polygon = 4

● Explanation -

We know that for any parallelogram (square, rectangle, other parallelogram), area is equal to product of length of a side and distance between two sides. As parallelogram has 4 sides, the given regular polygon has 4 sides.

Thanks dear. Hope this helps you...