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.)

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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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**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.
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.
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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