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?
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Answer:
Correct answer is option (B)
Step-by-step 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 [tex]x+3[/tex].
We know that area of a rectangle can be found by multiply the measures of length and width, therefore, we can set:
[tex]\text{Area} = \text{length}\times \text{width}\\\text{Area} = (x+3)\times x\\\text{Area} = x^{2}+3x\\[/tex]
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:
[tex]x^{2}+3x=88[/tex]
Therefore, correct answer is option (B)