Let the dimensions be a and b.
ab = 24
a^2 + b^2 = 52
a^2 + (24/a)^2 = 52
a^4 -52a^2 + 576 = 0
(a^2 -36)(a^2 -16)
a^2 = 36 or 16
a = 6 or 4
b = 4 or 6
Let X and Y represent the sides of
X^2 + Y^2 = 52 = diagonal squared.
XY = 24 =the area of rectangle.
y = 24/X
X^2 + (24/X)^2 = 52
X^2 +576/X^2 = 52
Multiply both sides by x^2 :
X^4 + 576 = 52X^2
X^4 - 52X^2 + 576 = 0. used computer to
help find roots: X = -4, X = 4, X = -6,
X = 6. Select the positive roots:
The sides are 4 and 6. P = (2*4) +(2*6)
Math - Find the Maximum area for the given perimeter of a rectangle. State the ...
grade 6 math - The shorter side of a rectangle is 20 m. Decreasing the longer ...
Geometry - A rectangle has the same perimeter as a square. If the area of the ...
Pre-Cal - The diagonal and teh longer side of a rectangle make an angle of 43.2...
algabra 2 - One side of a triangle is 4 cm longer than the shortest side and 2 ...
Math - Checking my son's homework and want to see if he figured this out ...
Math - Abigail Adventuresome took a shortcut along the diagonal of a ...
Math - One side of a rectangle is longer than the other side by 1cm. If the area...
Math - The first question is this: Helen designs a rectangle with an area of 225...
algebra 2 - the perimeter of a triangle is 49 centimeters. find the lenghts of ...