Rick's 76ft times 50ft house sits on a plot of land as shown in the diagram below. If 1 bag of lawn food covers 5000 ft squared , how many bags should Rick buy to cover the lawn (shaded)?

To find out how many bags of lawn food Rick should buy to cover the shaded area of his lawn, we first need to calculate the area of the shaded portion.

Looking at the diagram, it appears that the shape of the shaded area is a rectangle. The length of the rectangle is given as 76ft and the width is given as 50ft.

To find the area of a rectangle, you need to multiply its length by its width. Therefore, the area of the shaded portion is:

Area = Length x Width
Area = 76ft x 50ft

Now, let's calculate the value:

Area = 3800 square feet

We know that 1 bag of lawn food covers 5000 square feet.

To find out how many bags Rick should buy, we divide the total area of the shaded portion by the coverage of one bag of lawn food:

Number of Bags = Area / Coverage per Bag
Number of Bags = 3800ft² / 5000ft²

Calculating this value:

Number of Bags = 0.76 bags

Therefore, Rick should buy approximately 0.76 bags of lawn food to cover the shaded area of his lawn. However, since it is not possible to buy a fraction of a bag, Rick would have to round up to the nearest whole number. In this case, the answer would be 1 bag.