Question

Lara wants to build a square wooden stage. Her original plan for a stage xfeet long and x feet wide had to be made smaller to fit the space. The stageneeds to be 6 feet narrower and 4 feet shorter than her original plan. Whichmultiplication problem represents this situation? What is the area of thesmaller stage?A. (x - 6) (x - 4)The area of the smaller stage is &? - 10x+ 24 square feet.B. (x - 6) (x + 4)The area of the smaller stage is *2 + 10x+ 24 square feet.c. (x - 6) (x+ 4)The area of the smaller stage is &2 - 2x - 24 square feet.D. (x - 6) (x - 4)The area of the smaller stage is »2 - 2x- 24 square feet. Just need to know the answer

Answer 1

Given:

The original plan for a stage x feet long and x feet wide had to be made smaller to fit the space.

The stage needs to be 6 feet narrower and 4 feet shorter than her original plan.

To find:

The area

Explanation:

According to the problem,

The length of the smaller stage becomes,

$x-6$

The width of the smaller stage becomes,

$x-4$

So, the area becomes,

$\begin{gathered} A=l\times w \\ A=(x-6)(x-4) \\ A=(x^2-10x+24)square\text{ feet.} \end{gathered}$

Final answer:

The correct option is A.

$\left(x-6\right)(x-4)$

The area of the smaller stage is,

$x^2-10x+24$