Complete the steps to find the area of the trapezoid.

Area of rectangle = _ square units

Area of triangle 1 = square units

Area of triangle 2 = _ square units

Area of triangle 3 = _ square units

Area of trapezoid = _ square units

Given:

In the given diagram

Each small box along X axis = 2 unit

Each small Box along Y axis = 2 unit

For rectangle:

Length = 16 unit

Width = 16 unit

For triangle 1

Base = 8 unit

Height = 6 unit

For triangle 2

Base = 8 unit

Height = 4 unit

For triangle 3

Base = 16 unit

Height = 12 unit

Formula

Area of the trapezoid is

Where, be the area of the trapezoid

be the area of the rectangle

be the area of the triangle 1, 2 and 3 respectively.

where, l be length and b the width

, where, b be the base and h be the height

Now,

Taking, l = 16 and b = 16 we get,

= 256 sq unit

For Triangle 1

Taking, b = 8 and h = 6 we get,

sq unit

sq unit

For Triangle 2

Taking, b = 8 and h = 4 we get,

sq unit

sq unit

For Triangle 3

Taking, b = 16 and h = 12 we get,

sq unit

sq unit

Therefore,

The area of the trapezoid is = 256-24-16-96 sq unit = 120 sq unit

Hence,

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

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step-by-step explanation:

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step-by-step explanation: