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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

1. Areas of Parallelograms

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Exercise 26 Page 290

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

≈ 215.17ft^2

Practice makes perfect

The area of a parallelogram is the product of its base and its height. In the given parallelogram, the length of the base is 5 meters and the height is 4 meters.

Before we substitute these two values into the formula for the area of a parallelogram, let's convert the meters into feet. Converting between meters (m) and feet (ft) will involve using a conversion factor.

3.28ft/1m Let's convert the measurements of our parallelogram!

	Meters	Conversion	Feet
Base	5	5* 3.28	16.4
Height	4	4* 3.28	13.12

We found that the base of the parallelogram is 16.4 meters and the height is 13.12 meters. Now we can substitute b= 16.4 and h= 13.12 into the formula for the area of a parallelogram. Let's do it!

A=bh

b= 16.4, h= 13.12

A= 16.4( 13.12)

Use a calculator

A=215.168

Round to 2 decimal place(s)

A≈ 215.17

The area of the parallelogram is about 215.17 square feet.

Subchapter links

Try It p.286-287

Self-Assessment for Concepts & Skills p.287

Self-Assessment for Problem Solving p.288

Review & Refresh p.289