SOLUTION: A rectangle that is 20 cm long and 28 cm wide is the same shape as one that is 9 cm long and z cm wide. Find the value of z.

Algebra ->  Proportions  -> Lessons -> SOLUTION: A rectangle that is 20 cm long and 28 cm wide is the same shape as one that is 9 cm long and z cm wide. Find the value of z.      Log On


   

Question 1191649: A rectangle that is 20 cm long and 28 cm wide is the same shape as one that is 9 cm long and z cm wide. Find the value of z.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
A rectangle that is 20 cm long and 28 cm wide is the same shape
as one that is 9 cm long and z cm wide. Find the value of z.
~~~~~~~~~~~~~~ 


In this context, the words "is the same shape" mean "is similar".


It implies that the proportion takes place


    20%2F28 = 9%2Fz%7D%7D%2C%0D%0A%0D%0A%0D%0Afrom+which++z+=+%7B%7B%7B%2828%2A9%29%2F20 = %287%2A9%29%2F5 = 63%2F5 = 12 3%2F5 cm = 12.6 cm.    ANSWER

Solved.