The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2,560 square inches. What are the dimensions of the window?


A. 50.6 inches by 50.6 inches
B. 40 inches by 64 inches
C. 40 inches by 80 inches
D. 40 inches by 102.4 inches

Respuesta :

I think it is B you need to divide
S = a*b    this is formula for surface.
Condition of the task is:
a:b = 1.6:1
a = 1.6*b

Now we implement this in surface formula
S = 1.6*b^2
and calculate "b"

[tex]b= \sqrt{ \frac{S}{1.6} } [/tex]

b = 40
a = 1.6*40 = 64

Answer is B.