If the scale on a drawing of a house is 1 cm=2 1/2m, what is the length of the house if it measures 3 cm on the scale drawing?
well, since 3 cm is 3 times as big a 1 cm, the real length will be 3 times as big as well.
To find the actual length of the house, we can use the scale ratio.
The given scale is 1 cm = 2 1/2 m.
This means that for every 1 centimeter on the drawing, it represents 2 1/2 meters in real life.
If the length of the house on the scale drawing is 3 cm, we can set up a proportion to find the actual length:
1 cm on the drawing = 2 1/2 m in real life
3 cm on the drawing = ? m in real life
Setting up the proportion, we have:
1 cm / 2 1/2 m = 3 cm / x
To solve for x, we can cross-multiply:
1 * x = 2 1/2 * 3
Multiplying 2 1/2 by 3, we get:
1 * x = (5/2) * 3
x = (5/2) * 3
x = 15/2
x = 7 1/2
Therefore, the length of the house is 7 1/2 meters.
To determine the actual length of the house based on the given scale, we can use a proportion to relate the measurements on the scale drawing to the actual measurements.
The given scale is 1 cm = 2 1/2 m.
Let's set up the proportion:
(length on scale drawing) / (actual length) = (ratio of the scale)
Let "x" represent the actual length of the house.
So, we have:
3 cm / x = 1 cm / 2 1/2 m
To solve for "x," we need to convert the units of the scale into the same unit as "x" (meters). Since 2 1/2 m is the same as 2.5 m, we can rewrite the proportion:
3 cm / x = 1 cm / 2.5 m
Now, we can cross-multiply:
(3 cm) * (2.5 m) = (1 cm) * (x)
7.5 cm*m = x cm
To convert centimeters to meters, divide 7.5 by 100:
7.5 cm * (1 m / 100 cm) = 0.075 m
Therefore, the length of the house, based on the given scale and a measurement of 3 cm on the scale drawing, is approximately 0.075 meters.