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The perimeter of a rectangle is 260 yards. The length is 30 yards greater than the width. Find the dimensions of the rectangle.

User Lindell
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2 Answers

11 votes
11 votes

Final answer:

The width of the rectangle is 50 yards, and the length is 80 yards.

Step-by-step explanation:

Let's assume the width of the rectangle is x yards.

Since the length is 30 yards greater than the width, the length would be x + 30 yards.

The perimeter of a rectangle is the sum of all its sides, which can be calculated by adding the length and width and then multiplying by 2:

P = 2(x + x + 30) = 260

Simplifying the equation, we have: 4x + 60 = 260

Subtracting 60 from both sides: 4x = 200

Dividing by 4, we find: x = 50

Therefore, the width of the rectangle is 50 yards, and the length is 50 + 30 = 80 yards.

User Ryansstack
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2.5k points
12 votes
12 votes

Answer:

width: 50 yards

length: 80 yards

Step-by-step explanation:

I would write an equation to start

x = width

260 = 2x + 2(x + 30)

260 = 4x + 60

200 = 4x

x = 50

Width = 50 yards

Length = width + 30

Length = 50 + 30

Length = 80 yards

User Imthepitts
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2.8k points