Question

The area of Ray’s rectangular living room, in square feet, can be found by using the expression 4(3x+3y). Use the distributive property to write an equivalent expression for the area of Ray’s living room. Equivalent Expression Use your equivalent expression to find the area of Ray’s living room, in square feet, if x = 2 and y = 4. Write answer here: square feet Show work

Answer 1

Area = 72 square feet

Explanation:

`4(3x+3y)`

Multiply the four to the values inside the parentheses to find the "equivalent expression"

`12x +12y`

Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if
`x=2` and
`y = 4`

`12(2) + 12(4)`

`= 24 +48`

`= 72`