An entryway’s floor is square with an area of 81 ft2. Which side length of a square rug would fit in the entry with a border of 1 foot of floor around each edge?

The length of the required rug is 8ft

Step-by-step explanation:

Given

Required

Determine the length that will fit an entry with an edge of 1 foot

First, we need to determine the lengths of the rug;

Since, the rug is a square:

Take Square root

The length of the rug is 9 feet

To determine the rug that would feet the entry, we have to subtract the length of the edges;

Hence;

The length of the required rug is 8ft

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)