A city park planner is deciding between two proposals for a new rectangular playground. One is for a playground with an area of 1930 square feet.

A) The second proposal is for a playground that is 11.5 meters long and 19.5 meters wide. What is the area of this playground? Use 1m = 3.28 ft. Use the correct number of significant digits.
B) The playground will be covered with rubber mulch. Let c represent the cost in dollars to cover 1 square foot with rubber mulch. Write and simplify an algebraic expression for the amount the city will save on mulch by using the first proposal over the second.
C) Rubber mulch costs between $11 and $17 per square foot. Will the city save at least $3000 by using the first proposal? Explain

Hm.

Im happy i dont have school >:/

A) To find the area of the second proposal, we'll multiply the length and width of the playground:

Area = Length × Width

Given that the length is 11.5 meters and the width is 19.5 meters, we can calculate the area:

Area = 11.5 meters × 19.5 meters

Now, since we need to find the area in square feet, we'll convert the measurements from meters to feet using the conversion factor provided:

1 meter = 3.28 feet

So, the length and width in feet would be:

Length (in feet) = 11.5 meters × 3.28 feet/meter

Width (in feet) = 19.5 meters × 3.28 feet/meter

Now we can calculate the area in square feet:

Area (in square feet) = Length (in feet) × Width (in feet)

B) To calculate the amount the city will save on mulch by using the first proposal over the second, we need to find the difference in areas between the two proposals.

Let's assume the cost to cover 1 square foot with rubber mulch is represented by the variable c.

The area of the first proposal is given as 1930 square feet.

For the second proposal, we have already calculated the area in square feet from part A. Let's call this Area2.

The amount the city will save on mulch by using the first proposal over the second is given by the following expression:

Amount saved = Area of first proposal - Area2

C) To determine if the city will save at least $3000 by using the first proposal, we need to calculate the cost of rubber mulch for each proposal.

Given that rubber mulch costs between $11 and $17 per square foot, we'll assume a cost within this range. Let's use the lower end of the range, $11 per square foot, to calculate the cost.

To find the cost, we'll multiply the area by the cost per square foot:

Cost of rubber mulch = Area × Cost per square foot

Now, we need to find the difference in cost between the two proposals:

Difference in cost = Cost of rubber mulch for second proposal - Cost of rubber mulch for first proposal

If the difference is at least $3000, then the city will save at least $3000 by using the first proposal.

This is a "dumb" question.

1. Why would the city measure one playground in square feet, and the other in square metres?

2. in B) you say , let c represent the cost in dollars to cover 1 square foot with rubber mulch, but in C) you tell me what that cost is. Confusing!

3. in C) "mulch costs between $11 and $17 per ft^2."
equally confusing.

clarify and I will attempt this problem