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Envision Math 2.0: Grade 6, Volume 2

EM

Envision Math 2.0: Grade 6, Volume 2 View details

Review

Exercise 3 Page 443

Look at the kite as two triangles.

48in.^2

Practice makes perfect

We want to find the area of the kite. We can look at the kite as two identical triangles. Remember to find the length of any unknown sides when breaking up the shape.

triangles

Now we will find the area of each triangle. We can see that the height h of the triangles is 4 inches and the base b is 12 inches.

Two identical rectangles which are located symmetrically to a vertical line in respect to one another. Each triangle has the height of 4 inches drawn to the side of 4+8=12 inches

We will substitute these values into the formula for the area of a triangle.

A=1/2bh

b= 12, h= 4

A=1/2( 12)( 4)

▼

Evaluate right-hand side

Multiply

A=1/2(48)

MoveRightFacToNumOne

1/b* a = a/b

A=48/2

Calculate quotient

A=24

The area of each triangle is 24 square inches. Finally, we add the area of triangles to find the area of the kite. Area of the Kite 24+24=48in.^2

Subchapter links

Topic Essential Question p.441

Vocabulary Review p.441

Use Vocabulary in Writing p.441

1 Find Areas of Parallelograms and Rhombuses p.442

2 Solve Triangle Area Problems p.442

3 Find Areas of Trapezoids and Kites p.443

4 Find Areas of Polygons p.443

5 Represent Solid Figures Using Nets p.444

6 Find Surface Areas of Prisms p.445

7 Find Surface Areas of Pyramids p.445

8 Find Volume with Fractional Edge Lengths p.446