Question

A community builds a sandbox section and a playground section at one of the local parks. The area of the playground

section is 1,675 square feet. It is 100 square feet more than 4.5 times the area of the sandbox section.
• Write an equation that can be used to determine the area, A. of the sandbox section.
. What is the area of the sandbox section? Show all work.
Enter your equation, answer, and work in the box

Please help worth 25 points

Answer 1

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Answer:

• A + (100 +4.5A) = 1675
• A ≈ 286.4 square feet

Explanation:

The problem statement tells us that the area of the sandbox and playground together is 1675 square feet. Using A as the area of the sandbox section, the playground section is said to be (100 +4.5A). Then the total area is ...

A + (100 +4.5A) = 1675 . . . . . . an equation to determine A

5.5A = 1575 . . . . . . . . . . . . . . . subtract 100, collect terms

A = 1575/5.5 = 286 4/11 . . . . . divide by 5.5

The area of the sandbox section is about 286.4 square feet.