1. In a layout of Joe's backyard, the ratio is 1 centimeter = 10 meters. The length of the rectangular deck on the layout is 3 cm and the width is 5 cm. What is the perimeter of Joe's deck?
1 cm = 10 m
3 cm = ? m
5 cm = ? m
P = 2L + 2W
10
To find the perimeter of Joe's deck, we need to convert the dimensions from centimeters to meters using the given ratio.
First, let's convert the length of the deck:
Length in meters = Length in centimeters / Ratio
Length in meters = 3 cm / 10 m/cm
To divide by a fraction, we multiply by its reciprocal:
Length in meters = 3 cm * (1 m / 10 cm)
Length in meters = 3/10 m
Next, let's convert the width of the deck:
Width in meters = Width in centimeters / Ratio
Width in meters = 5 cm / 10 m/cm
Again, using the reciprocal:
Width in meters = 5 cm * (1 m / 10 cm)
Width in meters = 5/10 m = 0.5 m
Now that we have the length and width in meters, we can calculate the perimeter of the deck:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (3/10 m + 0.5 m)
Perimeter = 2 * (3/10 m + 0.5 m)
Perimeter = 2 * (0.3 m + 0.5 m)
Perimeter = 2 * (0.8 m)
Perimeter = 1.6 m
So, the perimeter of Joe's deck is 1.6 meters.