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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

3. Areas of Trapezoids and Kites

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Exercise 9 Page 300

To find the area of the trapezoid, calculate one half the product of the height and the sum of the bases.

52.5yd^2, or 52 12yd^2

Practice makes perfect

Let's find the area of the given trapezoid. The area of a trapezoid is one half the product of the height and the sum of the bases.

In the given trapezoid, the height is 5 yards and the bases are 9 yards and 12 yards. Let's substitute these values into the formula for the area of a trapezoid and evaluate!

A=1/2h(b_1+b_2)

SubstituteValues

Substitute values

A=1/2* 5* ( 12+ 9)

▼

Evaluate right-hand side

Add terms

A=1/2* 5* (21)

Multiply

A=1/2* 105

MoveRightFacToNumOne

1/b* a = a/b

A=105/2

Calculate quotient

A=52.5

The area of the trapezoid is 52.5 square yards. We can also write the answer as a mixed number.

A=52.5

Rewrite 52.5 as 52+0.5

A=52+0.5

Rewrite 0.5 as 1/2

A=52+1/2

Add terms

A=52 12

Subchapter links

Try It p.298-300

Self-Assessment for Concepts & Skills p.300

Self-Assessment for Problem Solving p.301

Review & Refresh p.302

Concepts, Skills, & Problem Solving p.302-304