Big Ideas Math Integrated I, 2016
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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.

32.26cm^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 2.5in and a height of 2in. To cancel out inches, we will use the conversion factor 2.54cm1in. Let's begin with the base.

2.5in
2.5in*2.54cm/1in
2.5in*2.54cm/1in
2.5in*2.54cm/1in
2.5* 2.54cm/1
2.5* 2.54cm
6.35cm
The length of the base is approximately 6.35 centimeters. Let's proceed in the same way with the height.

2in
2in*2.54cm/1in
Simplify
2in*2.54cm/1in
2in*2.54cm/1in
2* 2.54cm/1
2* 2.54cm
5.08cm

Calculating the Area

To calculate the area of a parallelogram we can use the following formula. A=bh Here b is the length of the base and h is the height. We already know that the base equals 6.35cm and the height is 5.08cm. Let's substitute these values into the formula.

A=bh
A=( 6.35)( 5.08)
A=32.258
A=32.26

The area of the parallelogram is approximately 32.26cm^2.