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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 10 Page 300

The area of a kite is half the product of its diagonals.

55m^2

Practice makes perfect

The area of a kite is half the product of its diagonals. Let's see the picture of the given kite!

By the Segment Addition Postulate, the length of the shorter diagonal is 5+ 5= 10 meters and the length of the longer diagonal is 7+ 4= 11 meters. Let's add this information to the diagram!

Now let's use the diagonal lengths to find the area of the kite.

A=1/2d_1 d_2

d_1= 10, d_2= 11

A=1/2* 10* 11

Multiply

A=1/2* 110

MoveRightFacToNumOne

1/b* a = a/b

A=110/2

Calculate quotient

A=55

The area of the kite is 55 square meters.

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