How do you maximize the area of a rectangle with 3 sides

Note: To find the area of a rectangle, multiply the length times the width! This tutorial will show you how to find the area of a rectangle. Check it out! Jan 11, 2011 · You need to remember the formula of area of rectangle such that: A = length*width The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side. The length of one (and each) side of this square is 6 inches.

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Aug 06, 2020 · Write down the formula for the area of a rectangle, A = l x w. In the formula for area (A), l is the length and w is the width of the rectangle. The units for area can be any unit for the measure of length squared: feet squared, meters squared, centimeters squared, etc. You will see the units written as ft 2, m 2, cm 2, etc.

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Express the thing you want maximized, the area, as a function of the two unknowns, x and y. A = l · w = (2 x) (y) Because the area is a function of two variables, Step 1 has two additional sub-steps.The sides of a square increase in length at a rate of 2 m/s. a) At what rate is the area of the square changing when the sides are 10 m long? b) At what rate is the area of the square changing when the sides are 20 m long? Solution Let A represent area and x represent the side length of the square.


The formula for the perimeter of rectangle is , but since we have 3 sides, the formula becomes. Now set the perimeter P equal to 80. Now solve for L. Now the area of a rectangle is. Plug in. Now plot as a function of x. Simply change A to y and w to x to get.

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