Question

7 jaylen draws the height shown in the parallelogram. he estimates that the height is about 5 units long. is jaylens estimate reasonable? explain. 8 what is the area of the parallelogram in square centimeters? 9 math journal draw two different parallelograms that each have an area of 12 square centimeters. label the base and height of each parallelogram. end of lesson checklist interactive glossary find the entries for base and height of a parallelogram. write definitions for a younger student. show an example and label the base and height. self check go back to the unit 1 opener and see what you can check off.

Explanation:

7.

Step1: Observe the grid - based parallelogram

By counting the grid squares along the height line, we can estimate the height more accurately.

Step2: Compare with the estimate

If we count the grid squares that the height line passes through, we can see that the height is close to 5 units. So Jaylen's estimate is reasonable.

Step1: Recall the area formula for a parallelogram

The formula for the area of a parallelogram is \(A = b\times h\), where \(b\) is the base and \(h\) is the height.

Step2: Identify base and height values

From the figure, the base \(b = 6.2\) cm and the height \(h=10.4\) cm.

Step3: Calculate the area

Substitute the values into the formula: \(A=6.2\times10.4 = 64.48\) \(cm^{2}\)

Step1: Recall the area formula \(A = b\times h\)

We know \(A = 12\) \(cm^{2}\), so we need to find pairs of \(b\) and \(h\) such that \(b\times h=12\).

Step2: Find the first pair

Let \(b = 3\) cm and \(h = 4\) cm. Draw a parallelogram with base 3 cm and height 4 cm.

Step3: Find the second pair

Let \(b = 6\) cm and \(h = 2\) cm. Draw a parallelogram with base 6 cm and height 2 cm.

Answer:

Yes, Jaylen's estimate is reasonable. By counting the grid - squares along the height line, the height is close to 5 units.

8.