Question

The area of Maxine's living room is 88 square feet. The length of the room is 3 feet longer than the width. Which quadratic equation can Maxine use to determine the width, x, of her living room?

Answer 1

Correct answer is option (B)

Explanation:

We have been given that area of Maxine's living room is 88 square feet. Further, we are given that length of the room is 3 feet longer than the width.

Let us assume that x be the width of the room, therefore, length of the room will be
`x+3`.

We know that area of a rectangle can be found by multiply the measures of length and width, therefore, we can set:

`\text{Area} = \text{length}* \text{width}\\\text{Area} = (x+3)* x\\\text{Area} = x^(2)+3x\\`

Now, since we are given that area is 88 square feet, therefore, we can set this expression for area equal to 88 to get the desired equation:

`x^(2)+3x=88`

Therefore, correct answer is option (B)