Question

Jacob helps paint a square mural in his classroom. Then he helps paint a mural in the hallway whose length is 6 feet longer and whose width is 2 feet shorter. Let x represent the side length of the mural in Jacob's classroom. Write an expression that represents the two binomials you would multiply to find the area of the hallway mural. Use that expression to find the area of the hallway mural if each side of the classroom mural is 8 feet long.

Answer 1

Answer:The area of the hallway mural is 84 ft².

Explanation:

Answer 2

Dimensions of the hallway mural:
L = x + 6, W = x - 2.
An expression is:
A ( hallway mural ) = ( x + 6 ) · ( x - 2 )
If x = 8 ft ( length of each side of the classroom ):
A ( h. m . ) = ( 8 + 6 ) · ( 8 - 2 ) =
= 14 · 6 = 84 ft²
The area of the hallway mural is 84 ft².