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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Mathematical Practices

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Exercise 2 Page 378

Use the formula for the area for a parallelogram. One inch is roughly $2.54$ centimeters.

$32.26 cm^{2}$

Practice makes perfect

We want to find the area of the parallelogram in square centimeters. Notice that the base and the height are given in inches. Let's convert them to centimeters first, then we can determine the area.

Converting to Inches

We can use a conversion factor to convert the units. We are given a parallelogram with a base of

2.5 in

and a height of

2 in .

To cancel out inches, we will use the conversion factor

\frac{2 . 5 4 cm}{1 in} .

Let's begin with the base.

2.5 in

Multiply by $\frac{2 . 5 4 cm}{1 in}$

2.5 in \cdot \frac{2 . 5 4 cm}{1 in}

MoveLeftFacToNum

$a \cdot \frac{b}{c} = \frac{a \cdot b}{c}$

\frac{2 . 5 in \cdot 2 . 5 4 cm}{1 in}

Cross out common factors

\frac{2 . 5 in \cdot 2 . 5 4 cm}{1 in}

Simplify quotient

\frac{2 . 5 \cdot 2 . 5 4 cm}{1}

$\frac{a}{1} = a$

2.5 \cdot 2.54 cm

Use a calculator

6.35 cm

Subchapter links

Monitoring Progress p.378