i need help with this i have no clue how to begin to do this
i need help with this i have no clue how to begin to do this
You are given that the length of the room is 20' (i.e., 20 feet) and its width is 10' (i.e., 10 feet).
The area, A, of the room is found by multiplying the length, L, of the room by the width, W, of the room:
A = L · W
A = 20 ft · 10 ft
A = 200 ft^{2}
Thus, the are of the room is 200 square feet.
Since we are asked to find the area of the room in square meters (i.e., m^{2}), we need to convert 200 ft^{2} to m^{2}:
200 ft^{2} · (12 in)^{2} · (2.54 cm)^{2} · (1 m)^{2 }
_______ _________ _________
(1 ft)^{2} (1 in)^{2} (100 cm)^{2}
= 200 ft^{2} · 144 in^{2} · 6.4516 cm^{2} · 1 m^{2}
________ ____________ ___________
1 ft^{2} 1 in^{2} 10,000 cm^{2}
= 18.580608 m^{2}
≈ 18.58 m^{2}
Thus, the area of the room is approximately 18.58 square meters.
This problem requires two steps: 1. Converting from English to metric (the marking next to 10 and 20 means feet) 2. Finding the area of a rectangle. The steps can be taken in either order. I am going to do them in the order that I listed.
1. The exact conversion string would list as follows (In recent years, the inch has been redefined as 2.54 cm)
12 inch/1 ft X 2.54 cm/1 inch X 1 m/100 cm = .3048 m/ft
To convert feet to meters, we will multiply the number of feet by .3048 m/ft
20 ft X .3048 m/ft = 6.096 m
10 ft X .3048 m/ft = 3.048 m
2. To find the area, multiply the length by the width
6.096 m * 3.048 m = 18.580608 m^{2} (approximately 18.6 m^{2})
You can solve the problem by finding the area in square feet and then converting, but you must remember to square the conversion factor when you convert to square meters.