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A Plan for Problem Solving
You will learn to solve problems that involve the perimetersand areas of rectangles and parallelograms.
A Plan for Problem Solving
You will learn to solve problems that involve the perimetersand 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 perimetersand areas of rectangles and parallelograms.
Perimeter is the _____________________.distance around an object
Perimeter is similar to ____________.a line segment
A Plan for Problem Solving
You will learn to solve problems that involve the perimetersand 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 ______.
A Plan for Problem Solving
You will learn to solve problems that involve the perimetersand 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
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimetersand 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 perimetersand areas of rectangles and parallelograms.
Perimeter is the ____________________.distance around a figure
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimetersand 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.
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimetersand 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
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimetersand 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:
A Plan for Problem Solving
In this section you will learn to solve problems that involve the perimetersand 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 + 6 ft + 9 ft
= 66 ft
A Plan for Problem Solving
Some figures have special characteristics. For example, the opposite sidesof 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 sidesof 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 2 2
2( )
l w
l w
(of a rectangle)
A Plan for Problem Solving
Find the perimeter of a rectangle with a length of 17 ft and a width of 8 ft.
17 ft
8 ft
A Plan for Problem Solving
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
wl 2 2 Perimeter
A Plan for Problem Solving
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
wl 2 2 Perimeter ) (2 or wl
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 area of a figure is ____________________________________________.the number of square units needed to cover its surface
A Plan for Problem Solving
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
A Plan for Problem Solving
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
A Plan for Problem Solving
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.
A Plan for Problem Solving
The area “A” of a rectangle is the product of the length l and the width w.
l
w A lw
Find the area of the rectangle
14 in.
10 in.
A Plan for Problem Solving
The area “A” of a rectangle is the product of the length l and the width w.
l
w A lw
Find the area of the rectangle
14 in.
10 in.A lw
(14 )(10 )A in in2140A 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.
l
w A lw
Find the area of the rectangle
14 in.
10 in.A lw
(14 )(10 )A in in2140A in
The area of the rectangle is 140 square inches.
NOTE: units indicate area is being calculated 2( )( )in in in
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,the area of a parallelogram is closely related to the area of a ________.rectangle
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 ________.rectangle
The area of a parallelogram is found by multiplying the ____ and the ______.
base
height
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 ________.rectangle
The area of a parallelogram is found by multiplying the ____ and the ______.base height
base
height
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 ________.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
A Plan for Problem Solving
Find the area of the parallelogram:
4 m
15
10m
4.3 m
A Plan for Problem Solving
Find the area of the parallelogram:
4 m
15
10m
4.3 m
51 (4 )
10
A bh
m m
A Plan for Problem Solving
Find the area of the parallelogram:
4 m
15
10m
4.3 m
51 (4 )
10
A bh
m m
2
2
204
10
220
5
m
m
§1.6 A Plan for Problem Solving
