Question

You own a rectangular piece of property that is 1.01 acres in size. you get bids for 1) constructing a $20 per-lineal-foot fence around the entire property, and 2) spraying the property for weed abatement at a price of $0.40 per square foot. to your surprise (and joy because you love numbers), the bids come out exactly the same dollar amount. what are the dimensions of your property? give your answers to the nearest hundredth of a foot.

Answer 1

To find the dimensions of the rectangular property, set up equations using the given information and solve for the dimensions.

Step-by-step explanation:

To find the dimensions of the property, we need to set up equations based on the given information.

Let's assume the length of the property is L and the width is W (in feet).

The perimeter of the property is given by the formula: 2L + 2W = perimeter.

The area of the property is given by the formula: L * W = area.

Since the bids for the fence and weed abatement are the same, the cost for both options must be equal.

The cost for constructing the fence is 20 * (2L + 2W) and the cost for spraying the property is 0.4 * (L * W).

Setting up the equation, we have: 20 * (2L + 2W) = 0.4 * (L * W).

Simplifying the equation, we get: L + W = 100 / 4.

Since the property is rectangular, we can solve this equation to find the dimensions.