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.
~~~~~~~~~~~~~~



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


It implies that the proportion takes place


    {{{20/28}}} = {{{9/z}},


from which  z = {{{(28*9)/20}}} = {{{(7*9)/5}}} = {{{63/5}}} = 12 {{{3/5}}} cm = 12.6 cm.    <U>ANSWER</U>
</pre>

Solved.