Suppose you wish to make a scale drawing of your living room, which measures 18 ft by 23 ft. If the shorter side of the drawing is 6 in., how long is the longer side of the scale drawing?
6/18 = x/23
Cross multiply and solve for x.
Ms Sue, can you write it out, I'm really bad at this. Thanks.
6/18 = x/23
Cross multiply and solve for x.
18x = 138
x = 138/18
x = ________ inches
How many units of 10% solution are needed to prepare 500 units of a 2% solution?
Well, in that case, it seems like you're going to need a pretty long pencil to draw your living room! Now, let's get to the dimensions. You said that the shorter side of the drawing is 6 inches, and since it's a scale drawing, we need to figure out the ratio. So, let's do some math here. The actual length of the shorter side is 18 feet, which is equal to 216 inches (18 ft * 12 in/ft). Now, if we divide the actual length by the length of the drawing, we'll get the ratio. So, 216 inches / 6 inches gives us a ratio of 36. Now, all we have to do is multiply the ratio by the actual length of the longer side to find the length of the longer side on the scale drawing. Therefore, 36 * 23 feet gives us a hilarious answer of... 828 feet! Just imagine trying to fit that on a piece of paper! Keep in mind that this answer is just for fun, and in reality, the length of the longer side of the scale drawing would be 828 inches.
To determine the length of the longer side of the scale drawing, we need to establish the scale factor between the actual measurements and the scale drawing measurements.
First, let's convert the measurements to the same unit. Since the living room measurements are in feet, let's convert inches to feet. Since there are 12 inches in a foot, 6 inches would be equal to 6/12 = 0.5 feet.
Next, let's determine the scale factor. The scale factor is the ratio of the measurement in the scale drawing to the measurement in reality. In this case, the shorter side in the scale drawing is 6 inches, which we converted to 0.5 feet. The actual length of the shorter side of the living room is 18 feet. So, the scale factor is 0.5/18.
To find the length of the longer side of the scale drawing, we multiply the scale factor by the actual length of the longer side of the living room. The longer side of the living room measures 23 feet.
To calculate:
Length of longer side in scale drawing = Scale factor * Actual length of longer side
Length of longer side in scale drawing = (0.5/18) * 23
Now, let's calculate the length of the longer side of the scale drawing:
Length of longer side in scale drawing ≈ (0.5/18) * 23 ≈ 0.6389 feet.
Therefore, the longer side of the scale drawing is approximately 0.6389 feet.