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?

Answer 1

Question :- Newport Township is building a new playground area for which expression represents the length of one of the neighborhood kids. The playground will be a square with a perimeter of 56 + 8(1/3). An equivalent expression is 56 + 8(1/3x). Which expression represents the length of one of the playground's sides ?

Solution :-

we know that,

• Perimeter of square = 4 * side length .

given that,

• Perimeter expression = 56 + 8(1/3x).

so,

→ side length of square = Perimeter / 4 = {56 + 8(1/3x)} / 4 = {56 + (25/3)x} / 4 = (56/4) + (25x/3) * (1/4) = 14 + (25x/12) = 14 + (25/12)x . (Ans.)

Hence, the expression represents the length of one of the playground's sides is 14 + (25/12)x .

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