Miss bell decorates her gazebo with colored lights. The base of the gazebo is a circle with a diameter of 12 feet. Using the same length of lights she's going to decorate the side of her garden shed which has a square base. What is the maximum side length of the shed

The maximum side length of the shed = 9.42 ft

Step-by-step explanation:

From the given information:

Miss bell decorates her gazebo with coloured lights who base is a circle with diameter 12 feet. The first find the circumference of the gazebo by using the circumference of a circle since the base takes such shape.

Circumference of a circle = πd

Circumference of a circle = π × 12

Circumference of a circle = 37.699

Then; the circumference of the circle equates to the length of the lights.

However, using the same length, the maximum side length of the  garden shed whose base took a square form can be determined by using the perimeter of a square as the square length, which is;

P = 4L

where;

L = length of sides

37.699 = 4L

L = 37.699/4

L = 9.42 ft

Thus, the maximum side length of the shed = 9.42 ft

or