Write an expression in simplest form to represent the area of the rectangle.

10 points for correct answer
15 points for work shown
7-8r +16
41?
2,180

1 answer

To find the area of a rectangle, we can use the formula:

\[ \text{Area} = \text{length} \times \text{width} \]

In your case, it seems like we have some numerical values and expressions that could represent the dimensions of the rectangle: \(7 - 8r + 16\) and potentially another dimension.

Let's simplify the first expression:

  1. Combine like terms in \(7 - 8r + 16\):

\[ 7 + 16 - 8r = 23 - 8r \]

So, one dimension (either length or width) of the rectangle is \(23 - 8r\).

Now, you've also provided a second number which is unclear in context (41?) and then \(2,180\), which could imply another dimension or possibly relate to total area.

If we take \(41\) to be the other dimension, we can find the area as follows:

\[ \text{Area} = (23 - 8r) \times 41 \]

Now, let's distribute \(41\):

\[ \text{Area} = 41(23 - 8r) = 41 \times 23 - 41 \times 8r \]

Calculating \(41 \times 23\):

\[ 41 \times 23 = 943 \]

Now calculating \(41 \times 8r\):

\[ 41 \times 8r = 328r \]

Putting it all together:

\[ \text{Area} = 943 - 328r \]

Thus, the expression for the area of the rectangle in its simplest form is:

\[ \boxed{943 - 328r} \]

If more clarification on the second dimension (41 or 2,180) is needed, please provide additional context, and I can adjust the calculations accordingly!