Question

If w represents the width of a rectangle that is 10 inches long with a perimeter of 84 inches, the best algebraic representation of the rectangle's perimeter is in terms of w.

Answer 1

If w represents the width of a rectangle that is 10 inches long with a perimeter of 84 inches, the best algebraic representation of the rectangle's perimeter is in terms of w is 2(10+W) and Width=27inches

according to the question

Width=w

Length=10inches

Perimeter=84 inches

Perimeter of a rectangle=2(length+ width)

84=2(10+w)

84=20+2W

84-20=2w

64=2w

Divide both sides by 2

64/2=2w/2

32=w

Therefore,

Width=32inches

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