how to make a parallellagram with a base of 8cm and perimeter is 28cm?
P = 2L + 2W
28 = (2 * 8) + 2W
28 = 16 + 2W
12 = 2W
? = W
To construct a parallelogram with a base of 8 cm and a perimeter of 28 cm, follow these steps:
Step 1: Understand the properties of a parallelogram.
A parallelogram is a four-sided polygon with opposite sides that are equal in length and parallel to each other.
Step 2: Determine the length of the other side.
Since the parallelogram has a perimeter of 28 cm, and the base is 8 cm, the sum of the other three sides must equal 28 cm - 8 cm = 20 cm.
Step 3: Assign a value to the other two equal sides.
Let's assume that the other two equal sides of the parallelogram have a length of x cm each.
Step 4: Find the length of each equal side.
Since the two equal sides have the same length, we can divide the total sum of the lengths of these two sides by 2. In this case, each side would have a length of (20 cm / 2) = 10 cm.
Step 5: Construct the parallelogram.
Take a ruler and draw a line segment of 8 cm. Then, draw another line segment parallel to the first one, and 10 cm away. Connect the endpoints of these two line segments with two more line segments, each measuring 10 cm in length. These new line segments should be parallel to the original pair. You have now constructed a parallelogram with a base of 8 cm and a perimeter of 28 cm.
Remember to double-check your construction using a ruler or measuring tape to ensure the lengths of the sides and the perimeter are accurate.