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SOLVED Percentage increase in area of rectangle given increase in perimeter One side of a rectangle is three times the other If the perimeter increases by 2%, what is the percentage increase in area? I've started with these few lines: Perimeter, P = 2x + 2x + x + x = 8x Area, 3x^2 = 3(p^2) 64 delta P= 2% delta A = dA dP delta P delta A = 3 64 (2p) 2% The answer is 4% but it doesn't look like delta A will be 4%!
Perimeter of a circle as a limit of inscribed regular sided polygon Show that the perimeter Pn of an n-sided regular polygon inscribed in a circle of radius r is P_{n}= 2n r \sin(\frac{\pi}{n}) Find the limit of Pn as n approaches ∞ My attempt: The sum of the interior angles is \pi (n-2) If we apply the cosine law to find the length of each side of the n-sided regular polygon we find
Summing areas of squares - Math Help Forum A square S1 has a perimeter of 40 inches The vertices of a second square S2 are the midpoints of the sides of S1 The vertices of a third square S3 are the midpoints the sides of S2 Assume the process continues indefinitely, with the vertices of S K+1 being the midpoints of the sides of Sk for every positive integer k
Perimeter of right triangle with inscribed circle Question: The radius of the inscribed circle is 5 If the length of the hypotenuse of the right triangle ABC is 19, what is the perimeter of the triangle?
Relationship between Area of Square and Rectangle How much longer is the perimeter of the rectangle than the perimeter of the square? 40mm (b) Same question but this time the perimeter of the square is L mm and the long side of the rectangle is x times as long as the short side data: Asq = Ar, Ar = x^3, Asq = Side(sq)^2, Psq = L the Perimeter(sq) = Lmm, so Side(s)=Lmm 4 since sq has 4 = sides
[SOLVED] Maximization of pentagon area. . . | Math Help Forum A pentagon is formed by placing an isosceles triangle on a rectange If the pentagon has fixed perimeter P, find the lengths of the sides of the pentagon that maximize the area of the pentagon Check number 4 for a picture and answers
Rectangular Package - Math Help Forum A Rectangular package sent by a delivery can have a maximum combined length and girth (perimeter of a cross section) of 120 inches Here, there is a picture, <== I can't see an image of the package (Thinking) which is a 3D package, with length of y, and with of x The problem is the following: Give a formula for the volume of the package
Upper and Lower Bounds - Math Help Forum Really sorry if i am getting back to you on this For the first question perimeter of square , the data was the following: Upper bound perimeter=27 26cm Lower bound perimeter=27 22cm Give the perimeter of the square to an appropriate degree of accuracy As you said The true value of the perimeter lies between 27 22 cm and 27 26 cm
Divide a square into 7 equal parts - Math Help Forum 1 I divided the perimeter of the square into 7 equal distances 2 I played with some geometric shapes (rectangle, triangle, ) 3 I noticed that a triangle would fit best if I take the center of the square as common vertex 4