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.
10 Answer
7*8=56 56/5.6=10
7 * 8 = 56 square inches
56 / 5.6 = _______ inches
To find the altitude of the parallelogram, we first need to find the area of the parallelogram and the area of the rectangle. Let's begin by calculating the area of the rectangle.
The formula for the area of a rectangle is:
Area = length * width
Given that the sides of the rectangle are 7 inches and 8 inches, we can substitute these values into the formula:
Area of the rectangle = 7 in * 8 in = 56 square inches
Now, let's find the area of the parallelogram. The formula for the area of a parallelogram is:
Area = base * height
In this case, the base of the parallelogram is given as 5.6 inches. To find the height, which is the altitude we're looking for, we can equate the area of the parallelogram to the area of the rectangle:
Area of the parallelogram = Area of the rectangle
5.6 in * height = 56 square inches
Simplifying the equation:
height = 56 square inches ÷ 5.6 in
height = 10 inches
Therefore, the altitude to the given side in the parallelogram is 10 inches.