Find the perimeter and area of a parallelogram with sides of length

4

feet and

19

feet and a distance of

2

feet between the

19​-foot

sides

To find the perimeter and area of the parallelogram, we can use the following formulas:

### Perimeter of a Parallelogram:
The perimeter \( P \) is the sum of all the sides. For a parallelogram, this is given by:
\[
P = 2 \times (a + b)
\]
where \( a \) and \( b \) are the lengths of the two sides.

### Area of a Parallelogram:
The area \( A \) is given by:
\[
A = b \times h
\]
where \( b \) is the base (one of the sides) and \( h \) is the height (the perpendicular distance between the two parallel sides).

### Given:
- Side \( a = 4 \) feet
- Side \( b = 19 \) feet
- Height \( h = 2 \) feet

### 1. **Perimeter Calculation**:
\[
P = 2 \times (4 + 19) = 2 \times 23 = 46 \text{ feet}
\]

### 2. **Area Calculation**:
\[
A = 19 \times 2 = 38 \text{ square feet}
\]

### **Summary**:
- **Perimeter**: 46 feet
- **Area**: 38 square feet

Would you like more details on these calculations or have any questions?

Here are 8 related questions:
1. How do you find the area of a parallelogram if only the diagonals are given?
2. What is the relationship between the area of a parallelogram and the area of a rectangle?
3. How can you find the height of a parallelogram if the area and base are known?
4. How do you determine the angles of a parallelogram?
5. Can a parallelogram have sides of equal length? What is it called if it does?
6. How does the formula for the area of a parallelogram compare to that of a triangle?
7. What happens to the area of a parallelogram if the height is doubled?
8. How do you find the length of a diagonal in a parallelogram?

**Tip**: Remember, in a parallelogram, opposite sides are equal, and opposite angles are also equal.

Learn how to find the perimeter and area of a parallelogram with sides of 4 feet and 19 feet, separated by a distance of 2 feet. Detailed step-by-step calculations for perimeter and area provided.

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