A rectangle has a width of 2 inches more than twice a number. The length is 2 inches less than the same number. The area is 8 square inches. What is the number?

Question

What is the length and width of the rectangle?

Answer 1

the number is 1 + sqr5

width = 2+2sqr5

length = sqr5-1

width =2x

length =x-2

area = 8 = 2x(x-2) = 2x^2 -4x

2x^2 -4x - 8 =0

x^2 -2x -4 =0

x = 2/2 + (1/2)sqr(4+16)

x =1 + sqr20/2

x =1 +sqr5