A rectangles length and width are a ratio of 8:5. The area is 169 square millimeters. What are the length and width?

Question

Can anyone help and show how they got the answer....lost on this one.

Answer 1

width --- 5x
length ---8x

(5x)(8x) = 169
40x^2 = 169
x^2 = 169/40
x = 13/√40

width is 65/√40 = appr 10.28
length is 104√40 = appr 16.44

check:
area = (65/√40)(104/√40) = 6760/40 = 169
ratio = (65/√40) : 104/√40)
= 65 : 104
= 5 : 8

Answer 2

the dimensions are 8x and 5x. So,

8x * 5x = 169
40x^2 = 169
x^2 = 169/40
x = 13/√40

Now you can determine 8x and 5x