Question

The diagram shows a rectangle and a square.

Diagram
accuratel
The rectangle is 2 cm long and 6 cm wide.
The perimeter of the rectangle is the same as the perimeter of the square.
Work out the length of one side of the square.​

Answer 1

4 cm

Explanation:

The side of the square will be the average of the two sides of the rectangle with the same perimeter.

Formulas for the perimeters are ...

P = 2(L+W)

P = 4s

Equating these gives ...

4s = 2(L+W)

s = (L +W)/2 . . . . . divide by 4

For the given side lengths, ...

s = (2 cm +6 cm)/2 = (8/2) cm = 4 cm

The length of one side of the square is 4 cm.