This is the layout of the McDougal's backyard.The scale is 1 centimeter to 5 meters.The length of the deck on the layout is 7 centimeters.The width of the deck on the deck is 2 centimeters.
What is the actual perimeter of the deck?
Pls answer within the next minute and include your explanation on how you computed it.
5 * 7 = 35
5 * 2 = 10
P = 2L + 2W
P = ?
45?
Nope. That's only half the perimeter.
P = 2L + 2W
To find the actual perimeter of the deck, we can first calculate the length and width of the deck in meters using the given scale.
The scale is 1 centimeter to 5 meters, which means that each centimeter on the layout represents 5 meters in reality.
Given that the length of the deck on the layout is 7 centimeters, we can find the actual length by multiplying 7 centimeters by the conversion factor of 5 meters per centimeter:
Actual length of the deck = 7 centimeters * 5 meters/centimeter = 35 meters
Similarly, the width of the deck on the layout is 2 centimeters. We can find the actual width by multiplying 2 centimeters by the conversion factor of 5 meters per centimeter:
Actual width of the deck = 2 centimeters * 5 meters/centimeter = 10 meters
Now we have the actual length and width of the deck, we can compute the perimeter. The perimeter of a rectangle is given by the sum of all its sides.
In this case, the deck has two sides of length 35 meters and two sides of width 10 meters. So, the perimeter is:
Perimeter of the deck = 2 * length + 2 * width
= 2 * 35 meters + 2 * 10 meters
= 70 meters + 20 meters
= 90 meters
Therefore, the actual perimeter of the deck is 90 meters.