Question

Find the unknown measure. 3.) Katie uses a copy machine to enlarge her rectangular design that is 5 in. wide and 8 in. long. The new width is 10 in. What is the new length?

Answer 1

Given dimensions of rectangular design:

Width = w1 = 5 in

Length = l1 = 8 in

As mentioned, Katie uses a copy machine to enlarge her rectangular design. Therefore,

new width = w2 = 10 in

new length = l2 = x in

Katie creates a large copy of the original design. Therefore, the ratio of length to width must remain the same (as the original design). So, we can write as:

`(l1)/(w1)=(l2)/(w2)`

Now, let's put all the values in the equation

`(8)/(5)=(x)/(10)`
`10\cdot(8)/(5)=x`
`2\cdot8\text{ = x}`

or

x = 16

Therefore, the new length would be 16.