Question

The length of a living room is 12 feet and its width is 10.5 feet. The length of the room is being expanded by x feet.

A. Write an expression to represent the new area of the living room in square feet.

B. Expand the expression.

Answer 1

A) A= 10.5(12 +x)

B) A= 10.5x +126

Explanation:

A) Length of living room= 12 ft

Width= 10.5 ft

Since the length expanded by x ft,

New length of living room= (12 +x) ft

Area= length ×width

Let the new area of the living room be A ft².

A= 10.5(12+x)

B) To expand the expression, multiply 10 to each term and constant in the bracket on the right hand side of the equation.

A= 10.5(12 +x)

A= 10.5(12) +10.5x

A= 126 +10.5x