Exploring Adding and Subtracting Rational Expressions

The video tutorial covers composite figures and their area calculations, including examples with pentagons, rectangles, squares, parallelograms, triangles, and trapezoids. It also explores working with these shapes in the coordinate plane and concludes with a real-world application problem involving cost calculation for land clearing.

What is a composite figure?

• A figure that cannot be divided into simpler shapes

• A figure made up of only circles and ovals

• A figure made up of only one type of shape

• A figure that can be divided into simpler plane figures

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CCSS.1.G.A.2

How do you find the area of a composite figure?

• Use the Pythagorean theorem

• Find the area of each simple shape and add them together

• Find the area of each simple shape and subtract them

• Multiply the dimensions of the outermost shape

What is the area of a rectangle with dimensions 14 feet by 6 feet?

• 84 feet squared

• 70 feet squared

• 20 feet squared

• 120 feet squared

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a triangle with a base of 14 and a height of 5?

• 19 feet squared

• 35 feet squared

• 140 feet squared

• 70 feet squared

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CCSS.6.G.A.1

How do you calculate the area of a square?

• Base times height

• Side length squared

• Perimeter divided by 4

• Half the product of its diagonals

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

If a composite figure is made of a rectangle and a square, how do you find its total area?

• Subtract the area of the square from the area of the rectangle

• Add the area of the rectangle to the area of the square

• Multiply the areas of the rectangle and square

• Divide the area of the square by the area of the rectangle

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CCSS.3.MD.C.7D

What is the area of a parallelogram with a base of 8 and a height of 5?

• 40 yards squared

• 13 yards squared

• 20 yards squared

• 15 yards squared

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CCSS.6.G.A.1

How much will it cost to clear land of 3040 feet squared at $1.50 per square foot?

• $4560

• $3040

• $6080

• $1520

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CCSS.8.EE.C.7B

What is the area of a trapezoid with bases of 18 and 30, and a height of 22?

• 264 centimeters squared

• 792 centimeters squared

• 528 centimeters squared

• 1056 centimeters squared

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CCSS.6.G.A.1

In a composite figure separated into a parallelogram and a triangle, how do you find the total area?

• Divide the area of the parallelogram by the area of the triangle

• Add the areas of both shapes together

• Multiply the areas of both shapes

• Subtract the area of the triangle from the parallelogram

Tags

CCSS.3.MD.C.7D