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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

8. Solving Inequalities

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Exercise 7 Page 396

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

7 12 square yards

Practice makes perfect

Let's find the area of the given triangle. The area of a triangle is half the product of its base and its height.

In the given triangle, we can see that the base is 2 12 yards and that the height is 6 yards. We can substitute these two values into the formula for the area of a triangle and simplify. Let's do it!

A=1/2bh

b= 2 12, h= 6

A=1/2( 2 12)( 6)

▼

Evaluate right-hand side

a bc=a* c+b/c

A=1/2(2*2+1/2)(6)

Simplify quotient

A=1/2 (5/2)(6)

Multiply fractions

A=1* 5/2* 2* 6

MoveRightFacToNum

a/c* b = a* b/c

A=1* 5* 6/2* 2

Multiply

A=30/4

Calculate quotient

A=7.5

Rewrite 7.5 as 1 12

A=7 12

The area of the triangle is 7 12 square yards.

Subchapter links

Try It p.392-394

Self-Assessment for Concepts & Skills p.394

Self-Assessment for Problem Solving p.395

Review & Refresh p.396

Concepts, Skills, & Problem Solving p.396-398