How to Find the Area of a Trapezoid Using Triangles & a Rectangle | 6.G.A.1 | Grade 6 Math 💜💙

In this math video we will learn how to find the area of a trapezoid using triangles and a rectangle. We will use a four part constructed response math test question to model how to find the area of a trapezoid by decomposing it into a rectangle and two triangles. We will first use given measurements to identify the lengths of missing parts of the trapezoid. We will then find the area of a triangle using A=0.5bh. We will identify the base of the triangle and understand the height is perpendicular to the base. We will then find the area of a trapezoid by decomposing the shape into a rectangle and a triangle. We will then find the area of the given trapezoid by finding the sum of both triangles and the rectangle. An exemplar solution is modeled and explained.
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00:00 Introduction
00:17 The Question
00:43 Part A Find the Length of a Segment
02:05 Part B Find the Area of a Triangle
03:11 Part C Find the Area of a Trapezoid
04:59 Part D Find the Total Area
05:53 The Solution
Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
6.G.A.1 Solve mathematical problems that involve decomposing a figure into a right triangle and a trapezoid to determine the total area of the figure.