SOLUTION: the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x.
Algebra.Com
Question 629035: the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x.
-----
Perimeter = 2(length + width) = 100 cm
length + width = 50 cm
---
L^2 + W^2 = x^2
---
length = sqrt[x^2-width^2]
width = sqrt[x^2-length^2]
----------
Area = length*width = sqrt[(x^2-W^2)(x^2-L^2)]
====================
Cheers,
Stan H.
RELATED QUESTIONS
A rectangle has perimeter 88 inches. Express the area of the rectangle as a function,... (answered by solver91311,lwsshak3)
A rectangle has a perimeter of 30 feet.
Express the area A of the rectangle as a... (answered by ewatrrr)
A rectangle has a perimeter of 600 in. Express the area, A, of the rectangle as a... (answered by josmiceli)
A rectangle has an area of 240 in(squared), and one side has length x. Express the... (answered by HyperBrain)
A rectangle has sides of lengths x and 2x. Express the area A of the rectangle as a... (answered by vleith)
A rectangle has perimeter of 100 feet. Express the area A of the rectangle as a function... (answered by stanbon)
A rectangle with length L and width W has a diagonal of 10 inches. Express the perimeter... (answered by mananth)
The perimeter of a rectangle is 80 feet. Express its area, A as a function of the length... (answered by ikleyn)
the length of a rectangle is twice as long as its width. Express the area of the... (answered by solver91311)