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Danielle and Tracy are building a rectangular sandbox. Danielle has two boards that are equal in length, and Tracy has two boards that are each 5 feet longer than Danielle’s. They use the four boards as the four sides of their sandbox. Use the variable x to write an algebraic expression to relate the perimeter of the sandbox to the length of one of Danielle’s boards.

Respuesta :

calculista

Answer:

[tex]P=4x+10[/tex]

Step-by-step explanation:

Let

x -----> the length of Danielle's board in feet

y ----> the length of Tracy's board in feet

we know that

[tex]y=x+5[/tex] ----> equation A

The perimeter of the sandbox is equal to

[tex]P=2(x+y)[/tex] ----> equation B

substitute equation A in equation B

[tex]P=2(x+x+5)[/tex]

[tex]P=2(2x+5)[/tex]

[tex]P=4x+10[/tex]

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