Question

I need help is due today!!!

The length of a living room is 12 feet and it’s width is 10 1/2 feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet.

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 + 10.5) square feet

F.( 22.5 + x) square feet

Answer 1

Option C

Explanation:

The original length of the room = 12 feet

After expansion, the new length =
`(12 + x)` feet

Width of the room = 10
`(1)/(2)` feet = 10.5 feet

Area of a rectangle = Length × Width

The shape of the living room is a rectangle.

∴Area of living room =
`(12 + x)` feet ×
`(10.5)` feet

`= 10.5(12 + x)` square feet

Expand the brackets or parenthesis by applying the Distributive Law:

`= (12)(10.5) + (10.5)(x)` square feet

=
`(125 + 10x)` square feet

∴Option C

Answer 2

answer is A

Explanation:

because area of a rectangle is L × B

or length × width

since the length is expanded by x

10.5 (12x)