The area of a parallelogram with a side of 5.6 in is equal to the area of a rectangle with sides 7 in and 8 in. Find the altitude to the given side in the parallelogram.
To find the altitude to the given side in the parallelogram, we can start by finding the area of the parallelogram and then using that information to find the altitude.
1. Start by finding the area of the parallelogram:
- The area of a parallelogram can be calculated by multiplying the length of the base (one of the sides) by the perpendicular distance (or altitude) to that side.
- In this case, the length of the base of the parallelogram is given as 5.6 inches.
2. Now, find the area of the rectangle:
- The area of a rectangle can be calculated by multiplying the lengths of its sides.
- In this case, the sides of the rectangle are given as 7 inches and 8 inches.
3. Since the area of the parallelogram is equal to the area of the rectangle, we can set up an equation:
- Area of parallelogram = Area of rectangle.
- Therefore, 5.6 inches x altitude of parallelogram = 7 inches x 8 inches.
4. Solve the equation for the altitude of the parallelogram:
- Divide both sides of the equation by 5.6 inches to isolate the altitude:
- Altitude of parallelogram = (7 inches x 8 inches) / 5.6 inches.
5. Calculate the altitude to the given side in the parallelogram:
- Perform the multiplication and division in the above equation to find the altitude.
By following these steps, you should be able to calculate the altitude to the given side in the parallelogram.