The base of a parallelogram is 7 ft more than the height. If the area of the parallelogram is 30 ft2, what are the measures of the base and the height? h+7 The base of the parallelogram is and the height of the parallelogram is (Simplify your answers.)
The base of a parallelogram is 7 ft more than the height. If the area of the parallelogram is 30 ft2, what are the measures of the base and the height? h+7 The base of the parallelogram is and the height of the parallelogram is (Simplify your answers.)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Problem 5.3.59**
The base of a parallelogram is 7 feet more than the height. If the area of the parallelogram is 30 square feet, what are the measures of the base and the height?
**Diagram Explanation:**
A diagram of a parallelogram is shown. The base is labeled as "h + 7" and the height is labeled as "h".
**Questions:**
- The base of the parallelogram is [input field] and the height of the parallelogram is [input field]. (Simplify your answers.)
**Instructions:**
Enter your answer in the edit fields and then click "Check Answer."
**Additional Elements:**
- There is a "Clear All" button to reset the input fields.
- A progress bar labeled "All parts showing" is displayed at the bottom.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09f54f17-f516-4568-a914-10fcc621da66%2F61496ca3-467c-4f3f-a489-0817d31cd04c%2Feqkrgbm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 5.3.59**
The base of a parallelogram is 7 feet more than the height. If the area of the parallelogram is 30 square feet, what are the measures of the base and the height?
**Diagram Explanation:**
A diagram of a parallelogram is shown. The base is labeled as "h + 7" and the height is labeled as "h".
**Questions:**
- The base of the parallelogram is [input field] and the height of the parallelogram is [input field]. (Simplify your answers.)
**Instructions:**
Enter your answer in the edit fields and then click "Check Answer."
**Additional Elements:**
- There is a "Clear All" button to reset the input fields.
- A progress bar labeled "All parts showing" is displayed at the bottom.
![### Problem 5.5.57
**Problem Statement:**
A garden has an area of 252 square feet. Its length is 4 feet more than its width. What are the dimensions of the garden?
**Diagram Explanation:**
The diagram shows a rectangle representing the garden. The width is labeled as \( x \), and the length as \( x + 4 \).
**Solution:**
To find the dimensions:
1. Let the width of the garden be \( x \) feet.
2. Then, the length is \( x + 4 \) feet.
3. The area of the rectangle \( = \text{width} \times \text{length} = x(x + 4) \).
4. Given the area = 252 square feet, set up the equation:
\[
x(x + 4) = 252
\]
5. Solve the quadratic equation to find \( x \).
**Interactive Element:**
- Enter your answers for the width and length in the given fields and click "Check Answer."
**Note:**
Simplify your answers before submitting.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09f54f17-f516-4568-a914-10fcc621da66%2F61496ca3-467c-4f3f-a489-0817d31cd04c%2F684dwya_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 5.5.57
**Problem Statement:**
A garden has an area of 252 square feet. Its length is 4 feet more than its width. What are the dimensions of the garden?
**Diagram Explanation:**
The diagram shows a rectangle representing the garden. The width is labeled as \( x \), and the length as \( x + 4 \).
**Solution:**
To find the dimensions:
1. Let the width of the garden be \( x \) feet.
2. Then, the length is \( x + 4 \) feet.
3. The area of the rectangle \( = \text{width} \times \text{length} = x(x + 4) \).
4. Given the area = 252 square feet, set up the equation:
\[
x(x + 4) = 252
\]
5. Solve the quadratic equation to find \( x \).
**Interactive Element:**
- Enter your answers for the width and length in the given fields and click "Check Answer."
**Note:**
Simplify your answers before submitting.
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