A residence with dimensions 24 feet x 50 feet requires pesticides. How much active ingredient will be used if the label specifies 1 ounce per 1000 linear feet?

To determine how much active ingredient will be needed for a residence with dimensions of 24 feet by 50 feet, we first calculate the perimeter of the property since the pesticide application rate is given in ounces per 1000 linear feet.

The formula for finding the perimeter (P) of a rectangle is:

P = 2(length + width)

In this case: Length = 50 feet Width = 24 feet

So the perimeter will be:

P = 2(50 + 24) = 2(74) = 148 feet

Now, the pesticide label specifies that the application rate is 1 ounce for every 1000 linear feet.

To find out how many ounces are needed for 148 linear feet, a proportion can be set up based on the rate provided:

(148 feet / 1000 feet) * 1 ounce = 0.148 ounces

However, we are focusing on how many times 1000 feet could fit into the perimeter of the residence and scaling it by the total perimeter.

To find the ounces needed for the entire perimeter, calculate:

(148 feet / 1000 feet) = 0.148 ounces

Multiplying this by the application factor related to how many