Use the situations to write the polynomials, factor, and solve. 1) The area of a rectangle is 52 in². If the length is 9 inches more than the width, find the dimensions of the rectangle. 2) A mom-and-pop bistro is built on a rectangular lot. If the area of the lot is 750 m², find the area of the bistro. 10 m wwww X COFFEE MMMM 15 m

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Use the situations to write the polynomials, factor, and solve.

1) **The area of a rectangle is 52 in². If the length is 9 inches more than the width, find the dimensions of the rectangle.**

2) **A mom-and-pop bistro is built on a rectangular lot. If the area of the lot is 750 m², find the area of the bistro.**

#### Explanation of Diagram:

- The diagram shows a rectangular plot with a small bistro on it.
- The length of one side of the lot is marked as 15 meters.
- The width of the other side of the lot is marked as 10 meters.
- There is a small illustrated representation of a bistro on the plot, with labeled indicators showing distances related to the bistro.

### Instructions:

- For the rectangle in question 1, use the given area and the relationship between length and width to set up and solve a quadratic equation.
- For question 2, use the given area of the lot to find the area occupied by the bistro, considering the entire plot size and the labeled distances.
Transcribed Image Text:### Use the situations to write the polynomials, factor, and solve. 1) **The area of a rectangle is 52 in². If the length is 9 inches more than the width, find the dimensions of the rectangle.** 2) **A mom-and-pop bistro is built on a rectangular lot. If the area of the lot is 750 m², find the area of the bistro.** #### Explanation of Diagram: - The diagram shows a rectangular plot with a small bistro on it. - The length of one side of the lot is marked as 15 meters. - The width of the other side of the lot is marked as 10 meters. - There is a small illustrated representation of a bistro on the plot, with labeled indicators showing distances related to the bistro. ### Instructions: - For the rectangle in question 1, use the given area and the relationship between length and width to set up and solve a quadratic equation. - For question 2, use the given area of the lot to find the area occupied by the bistro, considering the entire plot size and the labeled distances.
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