You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.

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Presentation transcript:

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.

Perimeter is the _____________________. Perimeter is similar to ____________.

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the _____________________. distance around an object Perimeter is similar to ____________. a line segment

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the _____________________. distance around an object Perimeter is similar to ____________. a line segment Area is the _______________________________________________. Area is similar to ______.

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the _____________________. distance around an object Perimeter is similar to ____________. a line segment Area is the _______________________________________________. number of square units needed to cover an object’s surface Area is similar to ______. a plane

In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the ____________________.

In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the ____________________. distance around a figure

In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the ____________________. distance around a figure The perimeter is the ____ of the lengths of the sides of the figure.

In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the ____________________. distance around a figure The perimeter is the ____ of the lengths of the sides of the figure. sum

In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the ____________________. distance around a figure The perimeter is the ____ of the lengths of the sides of the figure. sum The perimeter of the room shown here is:

In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the ____________________. distance around a figure The perimeter is the ____ of the lengths of the sides of the figure. sum The perimeter of the room shown here is: 15 ft+ 12 ft+ 18 ft+ 6 ft + 9 ft = 66 ft

Some figures have special characteristics. For example, the opposite sides of a rectangle have the same length. This allows us to use a formula to find the perimeter of a rectangle. ( A formula is an equation that shows how certain quantities are related. )

Some figures have special characteristics. For example, the opposite sides of a rectangle have the same length. This allows us to use a formula to find the perimeter of a rectangle. ( A formula is an equation that shows how certain quantities are related. ) (of a rectangle)

Find the perimeter of a rectangle with a length of 17 ft and a width of 8 ft. 17 ft 8 ft

Find the perimeter of a rectangle with a length of 17 ft and a width of 8 ft. 17 ft 8 ft = 2(17 ft) + 2(8 ft) = 34 ft + 16 ft = 50 ft

Find the perimeter of a rectangle with a length of 17 ft and a width of 8 ft. 17 ft 8 ft = 2(17 ft) + 2(8 ft)= 2(17 ft + 8 ft) = 34 ft + 16 ft = 50 ft = 2(25 ft) = 50 ft

Another important measure is area. The area of a figure is ____________________________________________.

Another important measure is area. The area of a figure is ____________________________________________. the number of square units needed to cover its surface

Another important measure is area. The area of a figure is ____________________________________________. the number of square units needed to cover its surface The area of the rectangle below can be found by dividing it into 18 unit squares. 3 6

Another important measure is area. The area of a figure is ____________________________________________. the number of square units needed to cover its surface The area of the rectangle below can be found by dividing it into 18 unit squares. 3 6

Another important measure is area. The area of a figure is ____________________________________________. the number of square units needed to cover its surface The area of the rectangle below can be found by dividing it into 18 unit squares. 3 6 The area of a rectangle can also be found by multiplying the length and the width.

The area “A” of a rectangle is the product of the length l and the width w. l w Find the area of the rectangle 14 in. 10 in.

The area “A” of a rectangle is the product of the length l and the width w. l w Find the area of the rectangle 14 in. 10 in. The area of the rectangle is 140 square inches.

The area “A” of a rectangle is the product of the length l and the width w. l w Find the area of the rectangle 14 in. 10 in. The area of the rectangle is 140 square inches. NOTE: units indicate area is being calculated

Because the opposite sides of a parallelogram have the same length, the area of a parallelogram is closely related to the area of a ________.

rectangle

Because the opposite sides of a parallelogram have the same length, the area of a parallelogram is closely related to the area of a ________. rectangle The area of a parallelogram is found by multiplying the ____ and the ______. base height

Because the opposite sides of a parallelogram have the same length, the area of a parallelogram is closely related to the area of a ________. rectangle The area of a parallelogram is found by multiplying the ____ and the ______. base height base height

Because the opposite sides of a parallelogram have the same length, the area of a parallelogram is closely related to the area of a ________. rectangle The area of a parallelogram is found by multiplying the ____ and the ______. base height Base – the bottom of a geometric figure. Height – measured from top to bottom, perpendicular to the base. base height

Find the area of the parallelogram: