Exercise 1 Page 443

We want to find the area of the trapezoid. We can look at the trapezoid as a rectangle and a right triangle 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 11 centimeters and the width w is 5 centimeters. We can substitute these values into the formula for the area of a rectangle.

A=l w

SubstituteII

l= 11, w= 5

A= 11( 5)

Multiply

Multiply

A=55

The area of the rectangle is 55 square centimeters.

Area of the Triangle

Next, we can look at the triangle.

The base of the triangle is 11 centimeters and the height is 1 centimeter. We can substitute these values into the formula for the area of a triangle.

A=1/2bh

SubstituteII

b= 11, h= 1

A=1/2( 11)( 1)

IdPropMult

Identity Property of Multiplication

A=1/2(11)

MoveRightFacToNum

a/c* b = a* b/c

A=11/2

CalcQuot

Calculate quotient

A=5.5

The area of the triangle is 5.5 square centimeters.

Area of the Trapezoid

Finally, to find the area of the trapezoid we add the areas of the rectangle and triangle. Area of the Trapezoid 55+5.5=60.5cm^2