Question

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 56 feet. Find the length of the rectangle.

Answer 1

Answer:

length = 21

Step-by-step explanation:

P = 2L + 2W,   L = 3W

P = 2(3W) + 2W = 56

8W = 56

W = 7

L = 3W = 3(7) = 21

Answer 2

Answer: The answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet.

Step-by-step explanation: Here are 5 steps in order to find the length of the rectangle with the given perimeter of the rectangle:

• Let P represent the perimeter of the rectangle and let L represent the unknown length of the rectangle.

Step 1. Write the formula of the perimeter of the rectangle and unknown of the length of the rectangle that looks in the equation form like this: P = 2L + 2W, L = 3W.

Step 2. Substitute L into 3W that looks in the equation form like this: $P = 2(3W) + 2W = 56.$

Step 3. Multiply 2 and 3W then add 2W together that looks in the equation form like this: $8W = 56.$

Step 4. Divide both sides by 8 that looks in the equation form like this: $W = 7.$

Step 5. Hence your answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet that looks in the equation form like this: $L = 3W = 3(7) = 21.$

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about finding the length of the rectangle with the given perimeter of the rectangle, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend, and also have a good night! :D

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