Asked by Shirley
A rectangles length and width are a ratio of 8:5. The area is 169 square millimeters. What are the length and width?
Can anyone help and show how they got the answer....lost on this one.
Can anyone help and show how they got the answer....lost on this one.
Answers
Answered by
Reiny
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
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
Answered by
Steve
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
8x * 5x = 169
40x^2 = 169
x^2 = 169/40
x = 13/√40
Now you can determine 8x and 5x
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