a square has side length of 6 inches. a parallelogram has a base of 6 inches. the area of the square is equal to the area of the parallelogram what is the height of the parallelogram?
To find the height of the parallelogram, we can use the formula for the area of a parallelogram:
Area = base * height
We are given that the base of the parallelogram is 6 inches, and we know that the area of the square is equal to the area of the parallelogram. Since the area of a square is calculated by squaring the length of one of its sides, we can determine the area of the square:
Area of square = side length^2
Area of square = 6 inches^2
Area of square = 36 square inches
Since the area of the square is equal to the area of the parallelogram, we can set up the equation:
Area of parallelogram = 36 square inches
Next, we substitute the given base of the parallelogram into the formula and solve for the height:
36 square inches = 6 inches * height
Dividing both sides of the equation by 6 inches, we get:
6 = height
Therefore, the height of the parallelogram is 6 inches.
To solve this problem, we can use the formula for the area of a square and the formula for the area of a parallelogram.
The area of a square is given by the formula A = s^2, where s represents the length of a side.
Given that the side length of the square is 6 inches, we can calculate its area:
Area of the square = 6^2 = 36 square inches.
Now, let's consider the parallelogram. The formula for the area of a parallelogram is A = b * h, where b represents the length of the base and h represents the height.
Given that the base of the parallelogram is 6 inches and we want the area to be equal to that of the square (36 square inches), we can set up the following equation:
36 = 6 * h
To solve for h, we divide both sides of the equation by 6:
36 / 6 = h
6 = h
Therefore, the height of the parallelogram is 6 inches.
square = 6 * 6 = 36 sq. inches
parallelogram:
A=bh
36 = 6h
36/6 = h
Take it from there.