A Plan for Problem Solving
You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.
A Plan for Problem Solving
You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.
Perimeter is the _____________________.
Perimeter is similar to ____________.
A Plan for Problem Solving
You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.
distance around an object Perimeter is the _____________________.
a line segment Perimeter is similar to ____________.
A Plan for Problem Solving
You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.
distance around an object Perimeter is the _____________________.
a line segment Perimeter is similar to ____________.
Area is the _______________________________________________.
Area is similar to ______.
A Plan for Problem Solving
You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.
distance around an object Perimeter is the _____________________.
a line segment Perimeter is similar to ____________.
number of square units needed to cover an object’s surface Area is the _______________________________________________.
a plane Area is similar to ______.
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. Perimeter is the ____________________.
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. distance around a figure Perimeter is the ____________________.
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. distance around a figure Perimeter is the ____________________. The perimeter is the ____ of the lengths of the sides of the figure.
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. distance around a figure Perimeter is the ____________________. sum The perimeter is the ____ of the lengths of the sides of the figure.
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. distance around a figure Perimeter is the ____________________. sum The perimeter is the ____ of the lengths of the sides of the figure.
The perimeter of the room shown here is:
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms. distance around a figure Perimeter is the ____________________. sum The perimeter is the ____ of the lengths of the sides of the figure.
The perimeter of the room shown here is:
15 ft + 18 ft + 6 ft + 6 ft + 9 ft + 12 ft = 66 ft
A Plan for Problem Solving
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.)
A Plan for Problem Solving
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.)
Perimeter 2l 2w (of a rectangle) 2(l w)
A Plan for Problem Solving
Find the perimeter of a rectangle with a length of 17 ft and a width of 8 ft.
8 ft
17 ft
A Plan for Problem Solving
Find the perimeter of a rectangle with a length of 17 ft and a width of 8 ft.
8 ft
17 ft
Perimeter 2l 2w
= 2(17 ft) + 2(8 ft) = 34 ft + 16 ft
= 50 ft
A Plan for Problem Solving
Find the perimeter of a rectangle with a length of 17 ft and a width of 8 ft.
8 ft
17 ft
Perimeter 2l 2w
= 2(17 ft) + 2(8 ft) = 34 ft + 16 ft
= 50 ft
or
2(l w)
= 2(17 ft + 8 ft) = 2(25 ft)
= 50 ft
A Plan for Problem Solving
Another important measure is area.
The area of a figure is ____________________________________________.
A Plan for Problem Solving
Another important measure is area.
the number of square units needed to cover its surface The area of a figure is ____________________________________________.
A Plan for Problem Solving
Another important measure is area.
the number of square units needed to cover its surface The area of a figure is ____________________________________________.
The area of the rectangle below can be found by dividing it into 18 unit squares.
3
6
A Plan for Problem Solving
Another important measure is area.
the number of square units needed to cover its surface The area of a figure is ____________________________________________.
The area of the rectangle below can be found by dividing it into 18 unit squares.
3
6
A Plan for Problem Solving
Another important measure is area.
the number of square units needed to cover its surface The area of a figure is ____________________________________________.
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.
A Plan for Problem Solving
The area “A” of a rectangle is the product of the length l and the width w.
A lw
Find the area of the rectangle
w
l
10 in.
14 in.
A Plan for Problem Solving
The area “A” of a rectangle is the product of the length l and the width w.
A lw
Find the area of the rectangle
w
l
A lw A (14in)(10in) 2 A 140in
10 in.
14 in.
The area of the rectangle is 140 square inches.
A Plan for Problem Solving
The area “A” of a rectangle is the product of the length l and the width w.
A lw
Find the area of the rectangle
w
l
A lw A (14in)(10in) 2 A 140in
10 in.
14 in.
The area of the rectangle is 140 square inches.
NOTE: units indicate area is being calculated
(in)(in) in
2
Plan for Problem Solving
Because the opposite sides of a parallelogram have the same length, the area of a parallelogram is closely related to the area of a ________.
Plan for Problem Solving
Because the opposite sides of a parallelogram have the same length, rectangle the area of a parallelogram is closely related to the area of a ________.
Plan for Problem Solving
Because the opposite sides of a parallelogram have the same length, rectangle the area of a parallelogram is closely related to the area of a ________.
height
base
The area of a parallelogram is found by multiplying the ____ and the ______.
Plan for Problem Solving
Because the opposite sides of a parallelogram have the same length, rectangle the area of a parallelogram is closely related to the area of a ________.
height
base
height The area of a parallelogram is found by multiplying the ____ and the ______. base
Plan for Problem Solving
Because the opposite sides of a parallelogram have the same length, rectangle the area of a parallelogram is closely related to the area of a ________.
height
base
height The area of a parallelogram is found by multiplying the ____ and the ______. base
Base – the bottom of a geometric figure. Height – measured from top to bottom, perpendicular to the base.
A Plan for Problem Solving
Find the area of the parallelogram:
4.3 m 4m
5
1 m 10
A Plan for Problem Solving
Find the area of the parallelogram:
A bh 51 (4m) m 10
4.3 m 4m
5
1 m 10
A Plan for Problem Solving
Find the area of the parallelogram:
A bh 51 (4m) m 10
204 2 m 10 2 2 20 m 5
4.3 m 4m
5
1 m 10
§1.6 A Plan for Problem Solving
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