![]() ![]() So the length is 20 (taking the larger value of L) and the width is 15 (taking the smaller value of L). And since the area equation tells her that 300 = WL, she also knows that Since the perimeter equation tells her that 70 = 2L + 2W, she knows that 35 - L = W. This decorator is an algebra whiz and decides to solve for the width and length as well. Since P = 70 and D = 25, she can calculate The golden ratio has been used to analyze the proportions of natural objects and. The equation for area iaĮxample: An interior decorator does not know the area of a room, but she knows the perimeter is 70 feet and the diagonal is 25 feet. may be cut into a square and a smaller rectangle with the same aspect ratio. You can also measure the area of a rectangular region if you know the values of the diagonal and perimeter. Example 1: Calculating the Area of a Rectangle You know that the length of a rectangle is 20 cm and the width is 5 cm. The equation isĬomputing The Area from the Perimeter and DiagonalThe equation for area in terms of length and width is A = LW. Have a diagonal (d) that is the same length. You can also determine the perimeter if you know the diagonal length and area of a rectangle. ![]() If the perimeter is P and the area is A, the diagonal D is given by the equationĬomputing The Perimeter from the Diagonal and AreaIn terms of the length L and width W of a rectangle, the perimeter is P = 2L + 2W. However, you can also find the diagonal if you know just the perimeter and area of a rectangular space. Just input the known measurements, and the calculator will output the unknown measurement.Ĭomputing The Diagonal from the Perimeter and AreaIt is easy to compute the diagonal of a rectangle if you know the length L and width W: D = sqrt(L 2 + W 2). You can apply the geometry formulas below, or you can use the convenient rectangle calculator on the left. For example, you can compute the area if you know the perimeter and diagonal. You can also compute the perimeter, area, or diagonal if you know the values of the other two. ![]() If you know the width and length of a rectangle, you can calculate its perimeter, area, and diagonal length. area & perim area & diag perim & diag length & width If the perimeter is P and the area is A, the diagonal D is given by the equation. Rectangle Calculator Which two rectangular measurements are known? Check radio button and enter values in the appropriate fields. It is easy to compute the diagonal of a rectangle if you know the length L and width W: D sqrt (L 2 + W 2 ). ![]()
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