Questions 10-12

10) A parallelogram-shaped stripe is going to be painted on the wall of a daycare center. There is enough paint to make a stripe with an area of 9m². How high can the stripe be?

The answer is 6m²

All you have to do is divide 9 by 1.5

9 ÷ 1.5 = 6

11a) With a ruler, measure the base and height of the parallelogram. Explain how you measured.

The parallelogram looks something like this:

First, measure any of the 4 sides and remember that it is your base (b). Then, measure the line perpendicular to it, and that is your height (h). In this case, the base is the vertical left side, and the height is the top horizontal side.

11b) What is the area?

b = 2cm h=1.5cm

2cm × 1.5cm = 3cm²

11c) Use a different side of the parallelogram as the base. Determine the new height and calculate the area.

Use the vertical right side as your base, and use the bottom horizontal side as your height.

b= 2cm h= 1.5cm

2cm × 1.5cm = 3cm²

How does this compare to your answer b)?

They are both the same answers, because the sides of 11b) are equal to the sides of 11c), making the opposing sides parallel (bottom and top horizontal lines parallel, left and right vertical lines parallel).

12) Which of the 2 shapes shown below has a greater area? Explain your answer.

The picture looks like this:

Both of these shapes have an equal area, because their length and base are the same distance apart, and they are both perpendicular.

Here is also a link to help you with the Area of a Parallelogram

And a video to help too.