Exercise 2 Page 443

We want to find the area of the trapezoid. We can look at the trapezoid as a rectangle and two right triangles to find the area. Remember to find the length of any unknown sides when breaking up the shape. Now, we will find the area of each shape and then add the areas.

Area of the Rectangle

First, let's think about the rectangle.

The length l of the rectangle is 12 meters and the width w is 1 meter. We can substitute these values into the formula for the area of a rectangle.

A=l w

SubstituteII

l= 12, w= 1

A=( 12)( 1)

IdPropMult

Identity Property of Multiplication

A=12

The area of the rectangle is 12 square meters.

Area of the Triangles

Next, we can look at the triangles.

The triangles are identical. They both have a base of 6 meters and a height of 12 meters. We can substitute these values into the formula for the area of a triangle to calculate the area of each triangle.

A=1/2bh

SubstituteII

b= 6, h= 12

A=1/2( 6)( 12)

MoveRightFacToNum

a/c* b = a* b/c

A=6/2*12

CalcQuot

Calculate quotient

A=3*12

Multiply

Multiply

A=36

The area of each triangle is 36 square meters.

Area of the Trapezoid

Finally, to find the area of the trapezoid we add all three of the areas. Area of the Trapezoid 12+36+36=84m^2