Question

The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

Answer 1

C)
`10.5(12+x)\ ft^2`

E)
`(126+10.5x)\ ft^2`

Explanation:

Given:

Length of the room = 12 ft

Width f the room =
`10(1)/(2)\ ft` = 10.5 ft

Length of the room is expanded by
`x` feet.

To find the expression representing the new area of the room.

Solution:

Since, length of the room is expanded by
`x` feet, so the new length of the room will be =
`(12+x)\ ft`

Width = 10.5 ft

Area of the room =
`length* width`

So, area will be given as:

⇒
`10.5(12+x)\ ft^2` (Answer)

Using distribution, we can write:

⇒
`(126+10.5x)\ ft^2` (Answer)