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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 21 Page 289

To find the area of a parallelogram, calculate the product of the base and the height.

894mi^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 identify the base and the height!

After rotating the parallelogram, we can see that the length of the base is 37 14 miles and the corresponding height is 24 miles. We can substitute these two values into the formula for the area of a parallelogram and simplify.

A=bh

b= 37 14, h= 24

A= 37 14( 24)

a bc=a* c+b/c

A=37 * 4 +1/4* 24

Multiply

A=148+1/4* 24

Add terms

A=149/4* 24

MoveLeftFacToNum

a*b/c= a* b/c

A=149 * 24/4

Rewrite 24 as 4* 6

A=149 * 4 * 6/4

Cross out common factors

A=149 * 4 * 6/4

Simplify quotient

A=149 * 6

Multiply

A=894

The area of the parallelogram is 894 square miles.

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