SOLUTION: The diagonal of a rectangle is 15 inches and the area is 50 square inches. Find the dimensions of the rectangle, correct to one decimal place.
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Question 823842: The diagonal of a rectangle is 15 inches and the area is 50 square inches. Find the dimensions of the rectangle, correct to one decimal place.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
The diagonal creates two triangles, each with legs x and y. Pythagorean theorem relationship gives , because the diagonal also becomes the hypotenuse of the two triangles.
The given area permits the equation .
Various ways to continue, but take the area equation and solve for either x or y; substitute into the pythagorean theorem equation and solve for the present variable; and then solve for the other using the area xy equation.
To start, ;
You WILL need to deal with solving for first!
Multiplying left and right by ,
----note: 40625=25*1625=25*25*65-------
..
Actually, OR
OR
Finishing the value for x,
OR ------ not really comfortable with this level of accuracy expected, but you can recompute if you wanted this one.
You can take care of the value of y.
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