elissa created a scale drawing of a garden in which 2 inches equals 5 feet. The dimensions of the garden on the scale drawing are 15 inches by 10 inches.
What are the dimensions of the actual garden in feet?
To find the actual dimensions of the garden in feet, we can set up a proportion using the scale factor.
2 inches = 5 feet
15 inches = x feet, where x is the actual length of the garden
10 inches = y feet, where y is the actual width of the garden
Setting up the proportion:
2 inches / 5 feet = 15 inches / x feet
Cross multiplying:
2 * x = 5 * 15
2x = 75
x = 75 / 2
x = 37.5 feet
So, the actual length of the garden is 37.5 feet.
Now, let's find the width:
2 inches / 5 feet = 10 inches / y feet
Cross multiplying:
2 * y = 5 * 10
2y = 50
y = 50 / 2
y = 25 feet
So, the actual width of the garden is 25 feet.
Therefore, the dimensions of the actual garden in feet are 37.5 feet by 25 feet.