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The perimeter of a rectangular field is 52 yards. The length is 4 more yards than the width. Find the length and width of the field.
Question 13 options:

A)

Length = 9 yards; Width = 4 yards

B)

Length = 12 yards; Width = 9 yards

C)

Length = 8 yards; Width = 13 yards

D)

Length = 15 yards; Width = 11 yards

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Answer:

D.

Width = 11 yards

Length = 15 yards

Step-by-step explanation:

P = 2(l + w)

Consider the width to be x.

The length would then be x+4.

We know that P = 52 yd

52 = 2(x + x + 4)

52 = 2(2x + 4)

52 = 4x + 8 (Subtract 8 from both sides)

44 = 4x (Divide both sides by 4)

x = 11

The width is x, so the width is 11 yards.

The length is x+4, so the length is 15 yards.

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