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The perimeter of a rectangular garden is 232 feet. If the width of the garden is 53 feet, what is its length?

Ask by Rowe Byrd. in the United States
Mar 09,2025

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Answer

The length of the garden is 63 feet.

Solution

Let the length be \(L\) and the width be \(w = 53\) feet. The perimeter \(P\) of a rectangle is given by \[ P = 2(L + w) \] Given that \(P = 232\) feet, we substitute: \[ 2(L + 53) = 232 \] Divide both sides by 2: \[ L + 53 = 116 \] Subtract 53 from both sides to solve for \(L\): \[ L = 116 - 53 = 63 \] Thus, the length of the garden is \(63\) feet.

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Bonus Knowledge

To find the length of the rectangular garden, we can use the formula for the perimeter of a rectangle, which is \( P = 2 \times (length + width) \). Here, the perimeter \( P \) is 232 feet and the width is 53 feet. First, we can set up the equation: \[ 232 = 2 \times (length + 53) \] Dividing both sides by 2 gives: \[ 116 = length + 53 \] Now, subtracting 53 from both sides, we find: \[ length = 116 - 53 \] Thus, the length of the garden is: \[ length = 63 \text{ feet} \] So, the length of the garden is 63 feet. --- Did you know that the concept of the rectangle dates back to ancient civilizations? The Egyptians were particularly fond of rectangular shapes in their architecture, using them to create the great pyramids and other iconic structures! Their understanding of geometry was so advanced that they could calculate areas and volumes, which are essential when planning gardens or constructing buildings! Want to create your own stunning garden space? Consider incorporating various shapes and designs! A rectangular garden is a great start, but mixing in some circular or triangular flower beds can make your yard pop! Just remember, it’s essential to plan your garden according to the amount of sunlight and water different plants need!

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