https://file.aiquickdraw.com/mathbot/file/1725440335842ix4wegot.jpg

Let's break down the problem step by step. The task requires calculating the largest rectangle of concrete a landscaper can make in their backyard. The area \( A \) of the concrete pad with length \( x \) meters is given by the formula \( A(x) \).

### The Questions:
1. **What is the length of the pad when \( x = 6 \) meters?**
2. **What is the area of the pad when \( x = 7 \) meters?**
3. **What is the pad's length if the landscaper will achieve maximum area?**
4. **What is the maximum area of the pad?**
5. **Draw a graph of the model.**

Since I need to calculate the answers, could you please provide the explicit formula for \( A(x) \)? The image states that the formula is given, but it isn't visible in the upload.

Once I have the formula, I can proceed with solving all the questions.

A landscaper needs to calculate the largest rectangle of concrete he can make in his back yard. The area (A) of the concrete pad with length x meters is given by the formula A = x(9-x). 1. What is the length of the pad when x = 6 meters? 2. What is the area of the pad when x = 7 meters? 3. What is the pad's length if the landscaper will achieve maximum area? 4. What is the maximum area of the pad? 5. Draw a graph of the model.

This problem involves calculating the largest rectangular area a landscaper can make using the quadratic function A(x) = x(9-x). Learn to find the maximum area, the length at maximum area, and graph the function. Ideal for students in Grades 9-11.

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