A playground area is going to be built in a zoo park. The shape of the playground is shown below. This area will be covered with recycled rubber chips. Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot. How much will it cost to install the rubber chips?

Respuesta :

Answer:

$2075.75

Step-by-step explanation:

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My answer:

Given the information;

rubber chips costs $52.50 per square foot

We need to find the area of the playground,

  • 1. We find the area of the rectangle:

The length: 8ft

The width: 4 ft

=> the area of it is: 8*4 = 32 square foot.

  • 2. We find the area of the 1st identical triangles

The base: 3 ft

The height: 2 ft

=> the area of it is = 1/2*3*2 = 3 square foot.

  • 3. We find the area of the 2nd  identical triangles

The base: 3 ft

The height: 3 ft

=> the area of it is = 1/2*3*3 = 9/2 square foot.

=> the total area of the playground is: 32 + 3 + 9/2 = 39.5 square foot.

So the total cost to install the rubber chips is:

= 39.5 * $52.5

= $2075.75

Hope it will find you well.

Ver imagen thaovtp1407

The $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

First, we find the area of the rectangle = (8+3)×4 = 44 square feet

Area of the two triangle = 2(1/2)[2×3] = 6 square feet

Area of the complete figure = 44+6 = 50 square feet

Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

Total cost = 50×52.50 = $2625

Thus, the $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

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