Question

Newport Township is building a new playground area for neighborhood kids. The playground will be a square with a perimeter of 56 8 3 x An equivalent expression is 56 8 ( 1 3 x ). Which expression represents the length of one of the playground's sides? 224 StartFraction 32 over 3 EndFraction x 14 two-thirds x 14 StartFraction 8 over 3 EndFraction x 4 (56 StartFraction 8 over 3 EndFraction x).

Answer 1

Answer:

B. 14+2/3x is the answer

Answer 2

The expression that represents the length of one side of the square playground is 14+2(13x).

Given to us

The perimeter of the square garden of Newport township = 56+8(13x)

What is the perimeter of the square?

We know the perimeter of a square is 4 times the length of one of its sides, therefore, the perimeter of a square is equal to 4a, where a is the side of the square.

What is the length of the playground?

The length of the playground can be found using the formula of the perimeter of the square,

Perimeter of the playground = 4(length)

$56+8(13x)=4 \times (\rm Length)\\\\\dfrac{56+8(13x)}{4}= Length \\\\14+2(13x) = Length$

Hence, the expression that represents the length of one side of the square playground is 14+2(13x).

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