anonymous
  • anonymous
A rectangular painting has a diagonal measure of 13 inches and an area of 60 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
This question you can answer using "special triangles." The most common of these triangles is obviously the 3 4 5 triangle. But another of these is the 5,12,13 triangle. Since you know the hypotenuse is 13 you can try 5 and 12 as the length and width. Luckily, 5*12=60! Using the pythagorean theorem and the area of a rectangle is a little more difficult. you have to set up a system of equations. You know: x^2 + y^2 = (13)^2 and x*y=60. Using these two equations, you should be able to find the values of x and y
anonymous
  • anonymous
thank you I realize my mistake i was using the perimeter 2l + 2w
anonymous
  • anonymous
oops! my pleasure. good luck!

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