Question

the area of the parallelogram is 40 in2. one base of the parallelogram is 5 in long. the other base is 10 in long find its 2 heights

Answer 1

The two heights of the parallelogram with an area of 40 square inches and bases of 5 inches and 10 inches are 8 inches and 4 inches, respectively.

Step-by-step explanation:

To find the two heights of a parallelogram when given the area and the lengths of two bases, we can use the formula for the area of a parallelogram:

Area = Base × Height

We are given an area of 40 in2 and bases of 5 inches and 10 inches.

The height corresponding to the base of 5 inches is calculated as follows:

Height = Area / Base = 40 in2 / 5 in = 8 in

Similarly, the height corresponding to the base of 10 inches is calculated as follows:

Height = Area / Base = 40 in2 / 10 in = 4 in

Thus, the two heights of the parallelogram are 8 inches and 4 inches, respectively.

Answer 2

Step-by-step explanation:

Area of parallelogram = base × height or say b×h

Given: h=8 inches

Area=120 sq.inches

⇒120=8×b

⇒120/8=b

⇒120/8=b = 15

Answer = 15 inches b