A rectangle has a length of (5r+8) inches and a width of (2r + 4) inches. What is the area of the rectangle? Option 1: 10r^2 - 36r + 32
Option 2: 10r^2 + 36r + 32
Option 3: 10r^2 + 32
Option 4: 10r^2 - 32

Option 2

Step-by-step explanation:

First distribute 5r to 2r and 4 to get 10r^2+20r

Then distribute 8 to 2r and 4 to get 16r+32

After that you combine the like terms, so combine 20r and 16r to get 36r

Since there aren't other like terms for 10^2 and 32 you leave them how they are

After you combine your like terms you write the terms in order to get 10r^2+36r+32

Hope this helped!

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have