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liang123993
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View attachment 9234
The question is in the image. Working out with every step would be much appreciated.
The question is in the image. Working out with every step would be much appreciated.
Greg said:Here's a start:
Let $W$ be width, $L$ be length an $A$ be the desired area. Then,
\(\displaystyle 5W+2L=550\)
\(\displaystyle LW=A\)
Can you make any progress from there?
The formula for finding the area of a rectangle is length x width.
To find the length and width that will maximize the area of a rectangle, you can use the formula for area (length x width) and set it equal to a variable. Then, take the derivative of the variable and set it equal to 0 to find the critical points. The length and width at the critical points will maximize the area.
Yes, you can use any units for length and width as long as they are consistent. For example, if you use meters for length, you must also use meters for width.
Length refers to the longer side of a rectangle, while width refers to the shorter side. In the formula for area, length is represented by the longer side and width is represented by the shorter side.
You can check if your calculated length and width are correct by plugging them back into the formula for area and seeing if it matches the given area. You can also graph the rectangle with the calculated length and width to visually confirm if it maximizes the area.