Question

1. maria rents space at a farmers market to sell the vegetables she grows. she uses her own table that is 4 feet by 8 feet. raul lends her an extra table that is 3 feet wide.

total table area ( =3 x+8(4) )
the rectangle between the tables is marias working space.
write the total table area as a difference.
area of rental space - area of working space
which expression shows the total table area?
( 5 x-8(x + 4) )( 8(4)-5 x )
( 5 x-8(4) )( 8(x + 4)-5 x )

Explanation:

Step1: Calculate the area of rental space

The rental space has length \(x + 4\) and width \(8\). Using the formula for the area of a rectangle \(A=\text{length}\times\text{width}\), the area of the rental space is \(8(x + 4)\).

Step2: Calculate the area of working space

The working space has length \(x\) and width \(5\). Using the formula for the area of a rectangle \(A=\text{length}\times\text{width}\), the area of the working space is \(5x\).

Step3: Find the total table area as a difference

Since total table area \(=\) area of rental space\(-\)area of working space, we substitute the expressions from Step1 and Step2. So the total table area is \(8(x + 4)-5x\).

Answer:

\(8(x + 4)-5x\)