Question

question 1 multiple choice (worth 1 points) (8.5.04 mc) marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted. image of rectangle labeled x+25 (length) and x+75 (width), with a smaller rectangle (bench) labeled 15 (length) and 5 (width) at the bottom right which expression is equivalent to determine the area, a, of the patio that will be painted? multiple choice options, some partially visible: a = (x + 10)(x + 20) - 30, etc. question 2 multiple choice (worth 1 points) (8.5.04 mc) the length of a rectangular frame is represented by the expression 2x + 4, and the width of the rectangular frame is represented by the expression 2x + 10. which expression is equivalent to solve for the width of a rectangular frame that has a total area of 120 square inches? multiple choice options, some partially visible: 4x² + 28x + 40 = 120, etc.

Explanation:

Step1: Calculate total patio area

The total patio is a rectangle with length $x+25$ and width $x+20$. Area of a rectangle is $\text{length} \times \text{width}$, so:
$$A_{\text{total}} = (x+25)(x+20)$$

Step2: Calculate bench area

The bench is a rectangle with length 10 and width 3. Its area is:
$$A_{\text{bench}} = 10 \times 3 = 30$$

Step3: Subtract bench from total area

The painted area $A$ is total area minus bench area:
$$A = (x+25)(x+20) - 30$$

Answer:

A. $(x + 25)(x + 20) - 30$

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For the second question, the text is incomplete (missing key details about the area value and full options). Please provide the complete question details to solve it.