Find the area of a parallelogram with bottom and top sides of 7 inches and right and left sides of 4 inches? The height is unknown.

Question

Aaliyah Anderson · Accepted Answer

28 inches.

Area of parallelogram = Area of rectangle If we made rectangle from dimensions 7 inches and 4 inches , its area is equivalent to area of parallelogram of that dimensions. #:.# Area of parallelogram = Area of rectangle #:.# Area of parallelogram = l #xx# b = 7 #xx# 4 = 28 inches

Sadie Adams · Answer

undefined To find the area of the parallelogram, you can use the formula:

Area = base * height

Given:
Bottom side = 7 inches
Top side = 7 inches
Right side = 4 inches
Left side = 4 inches

Since a parallelogram's opposite sides are equal in length, the bottom side is equal to the top side, and the right side is equal to the left side.

Therefore, the base of the parallelogram is 7 inches.

To find the height, you can use the formula:

Height = side length * sin(θ)

Where θ is the angle between the base and the side (in this case, 90 degrees).

Given:
Side length = 4 inches

Now, calculate the height:

Height = 4 * sin(90°)

sin(90°) = 1

Height = 4 * 1 = 4 inches

Now, substitute the values into the formula for the area of the parallelogram:

Area = 7 * 4 = 28 square inches

Therefore, the area of the parallelogram is 28 square inches.