What is the perimeter of the rectangular field?

Question

A field in the shape of a rectangle can be subdivided into three square sections. Each square section has the area of 2551 square meters.

Answer 1

If the width (W) of the rectangular field is "x" and the length (L) is "3x", then it can be subdivided in 3 equal squares with the side "x".

Writing formula for the area of the square:

S_square = x²

Calculating the length of the side "x":

x² = 2551 (m²)

x = √2551

Calculating the perimeter (P):

P = x + x + 3x + 3x = 8x

P = 8x = 8 • √2551 ≅ 404.059 (m)

Answer 2

A sketch could look like this:

x² = 2551 so x = √2551

So the perimeter = 8√2551