Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
1. Areas of Parallelograms
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Exercise 25 Page 290

Use a conversion factor to convert from yards to miles. To find the area of a parallelogram, calculate the product of the base and the height.

≈ 0.64mi^2

Practice makes perfect

The area of a parallelogram is the product of its base and its height.

Let's rotate the figure to make it easier to recognize the base and the height!

After rotating the parallelogram, we can see that the length of the base is 1496 yards and the height is 1320 yards. Before we substitute these two values into the formula for the area of a parallelogram let's convert yards into miles. Converting between yards (yd) and miles (mi) will involve using a conversion factor. 1mi/1760yd Let's convert the measurments of our parallelogram!

Yards Conversion Miles
Base 1496 1496* 1/1760 0.85
Height 1320 1320* 1/1760 0.75
We found that the base of the parallelogram is 0.85 miles and the height is 0.75 miles. Now we can substitute b= 0.85 and h= 0.75 into the formula for the area of a parallelogram. Let's do it!
A=bh
A= 0.85( 0.75)
A=0.6375
A≈ 0.64
The area of the parallelogram is about 0.64 square miles.