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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 30 Page 290

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

6.4 cm

Practice makes perfect

We are told that the height of a parallelogram is 2.5 centimeters and that its area is 16 square centimeters. We want to find the base b. Let's draw a diagram to illustrate the situation.

We know that the area of a parallelogram is the product of its base and its height. A=bh We can substitute A= 16 and h= 2.5 into this formula and solve for b, the base of the parallelogram. Let's do it!

A=bh

A= 16, h= 2.5

16=b* 2.5

▼

Solve for b

.LHS /2.5.=.RHS /2.5.

16/2.5=2.5* b/2.5

Calculate quotient

16/2.5=b

Use a calculator

6.4=b

Rearrange equation

b=6.4

We found that the base of the parallelogram is 6.4 centimeters.

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