The scale on amount is 2 inches equals 75 feet. On the map a rectangle or park is 8 inches long and 3 inches wide. What is the actual area of the park? Please answer I am confused.
75/2 = 37.5 feet = 1 inch
37.5 * 8 = 300 feet
37.5 * 3 = 112.5 feet
A = LW
A = 300 * 112.5
A = ________ square feet
If 2 inches=75 feet Then solve by proporti
8 inches=(75/2)*4=300 feet and
3 inches=(75/2)*3=112.5 feet.
Therefore since
Area=length*width
Do Area=actual length*actual width
=300*112.5=33750 feet^2
I hope u understand this method.
if 2 in equals 75 ft, then 8 in equals 4 times 75
do the same conversion for 3 in
area of the park is length times width
To find the actual area of the park, you first need to determine the dimensions of the park in real life.
Given that the scale is 2 inches equals 75 feet, we can create a scale ratio:
2 inches : 75 feet
Since the length of the park on the map is 8 inches, we can set up a proportion:
2 inches / 8 inches = 75 feet / x feet
To solve for x, we can cross multiply:
2 inches * x feet = 8 inches * 75 feet
2x = 600
Now, divide both sides of the equation by 2 to get the value of x:
x = 300
So, the actual length of the park is 300 feet.
Following the same process for the width of the park (3 inches on the map), we find that the actual width is 112.5 feet (3 inches * 75 feet / 2 inches).
Now that we have the actual length (300 feet) and width (112.5 feet) of the park, we can calculate its actual area by multiplying the length and width:
Actual Area = Actual Length * Actual Width
= 300 feet * 112.5 feet
Calculating this, we get:
Actual Area = 33,750 square feet
Therefore, the actual area of the park is 33,750 square feet.