In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the diagram, the trees are 5 : 9 cm apart. How far apart should the actual trees be planted?
First, we need to convert the scale from centimeters to feet. Since 1 cm represents 10 ft, we can write:
1 cm/10 ft
To find how far apart the actual trees should be planted (in feet), we need to multiply the distance in the diagram (in centimeters) by the scale factor (in feet per centimeter). We can set up a proportion:
5 cm * (1 cm/10 ft) = x ft * (1 cm/9 cm)
Simplifying the units:
5/10 ft = x/9 cm
Cross-multiplying:
5 * 9 = 10 * x
x = 4.5 ft
Therefore, the actual trees should be planted 4.5 feet apart.
Is there another answer, there's no answer on the multiple choice.
The only other possible answer is if the distance between the trees is given as 9:5 cm instead of 5:9 cm. In that case, we would set up the proportion as:
9 cm * (1 cm/10 ft) = x ft * (1 cm/5 cm)
Simplifying the units:
9/10 ft = x/5 cm
Cross-multiplying:
9 * 5 = 10 * x
x = 4.5 ft
Therefore, if the distance between the trees is 9:5 cm instead of 5:9 cm, the actual trees should also be planted 4.5 feet apart.
To determine how far apart the actual trees should be planted, we need to use the given scale of the landscape plan.
Given:
Scale: 1 cm = 10 ft
Trees distance in the diagram: 5 : 9 cm
To convert the distance in the diagram to the actual distance between the trees, we can use proportions.
Let x represent the actual distance between the trees in feet.
Using the scale of 1 cm = 10 ft, we can set up the proportion:
1 cm / 10 ft = 5 cm / x ft
To solve for x, we can cross-multiply:
1 cm * x ft = 10 ft * 5 cm
x ft = 50 cm
Since there are 2.54 centimeters in an inch, we can convert cm to ft:
50 cm / 2.54 cm/inch / 12 in/ft = 1.64 ft
Therefore, the actual trees should be planted approximately 1.64 feet apart.
To find out how far apart the actual trees should be planted, we need to convert the measurements from the diagram using the given scale.
Given:
Scale: 1 cm = 10 ft
Distance between trees in the diagram: 5 : 9 cm
Step 1: Convert the distance between trees in the diagram to feet.
Since 1 cm on the diagram represents 10 ft, we need to convert the distance in cm to feet.
5 cm = 5 * (10 ft/1 cm) = 50 ft
9 cm = 9 * (10 ft/1 cm) = 90 ft
Step 2: Determine the actual distance between the trees using the scale.
The ratio of the distance between trees in the diagram is 50 ft : 90 ft.
To find out how far apart the actual trees should be planted, we need to find the equivalent ratio using the scale.
Since the scale is 1 cm = 10 ft, we can set up the proportion:
1 cm / 10 ft = x cm / y ft
We can cross-multiply and solve for y:
1 * y = 10 * x
y = 10x
So, the actual distance between the trees should be 10 times the distance in the diagram. Therefore, y = 10 * 50 ft = 500 ft and y = 10 * 90 ft = 900 ft.
Therefore, the actual trees should be planted 500 ft : 900 ft apart.