Negative 4 is the answer to the question
Area of Consuela's rectangular living room = 360 square feet
Let us assume the the length of the living room = x
Then
width of the living room = (5/8) * x
= (5x/8)
Then
Area of the rectangle = Length * Width
360 = x * (5x/8)
360 = 5x^2/8
2880 = 5x^2
x^2 = 2880/5
x^2 = 576
x^2 = (24)^2 inches
x = 24
Then
The length of the rectangle is = 24 inches
And
The Width of the rectangle is = 24 * (5/8) inches
= 3 * 5 inches
= 15 inches
1) circumference of the first bead = 0.25 in
2) circumference of the second bead = (0.25 + 0.15) in
3) circumference of the third bead = 0.25 + 0.15*2 in
4) circumference of the nth bead = 0.25 + 0.15 * (n -1) in
5) circumference of the 24th bead = 0.25 + 0.15 * (24 - 1) = 3.7 in
6) circumference = 2π*radius => radius = circumference / (2π)
7) radius of the 24th bead = circumference of the 24th bead / (2π)
radius of the 24th bead = 3.7 inches / (2π) = 0.5889 in ≈ 0.59 in
Answer: 0.59 in