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A rectangles area and perimeter have the same numerical value. The length of the rectangle is 22 feet What is the width of the rectangie in teet?

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Final answer:

The width of the rectangle is 2.2 feet.

Step-by-step explanation:

To find the width of the rectangle, we can set up a proportion using the given length and the fact that the area and perimeter have the same numerical value.

Let's assume that the width of the rectangle is w feet.

The area of the rectangle is given by length x width = 22 x w = 22w square feet.

The perimeter of the rectangle is given by 2(length + width) = 2(22+w) = 44 + 2w feet.

Since the area and perimeter are equal, we can write the proportion:

22w = 44 + 2w

Simplifying and solving for w:

20w = 44

w = 44/20 = 2.2 feet

Therefore, the width of the rectangle is 2.2 feet.

User Roni Yaniv
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