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Mari has square feet of patio bricks to put around the edge of a rectangular garden. Each square brick has sides that are foot long. What is the greatest perimeter that she can make with the bricks?
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Q. Mari has square feet of patio bricks to put around the edge of a rectangular garden. Each square brick has sides that are foot long. What is the greatest perimeter that she can make with the bricks?
- Perimeter Formula: First, we need to figure out the perimeter formula for a rectangle, which is , where is length and is width.
- Brick Size: Since the bricks are squares with -foot sides, each brick adds foot to the perimeter when placed end to end.
- Optimizing Perimeter: To get the largest perimeter, we should make the length and width as close as possible, because a square has the largest perimeter for a given area.
- Calculating Perimeter: But we can't make a square because isn't a perfect square. So, let's try a rectangle with one side longer than the other by brick.
- Calculating Perimeter: But we can't make a square because isn't a perfect square. So, let's try a rectangle with one side longer than the other by brick.If we try bricks for the length and for the width, we get a perimeter of feet.
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