SOLUTION: if the diagonal of a rectangle is 17 cm long and its perimeter is 49 cm.find the area of the rectangle

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Question 895810: if the diagonal of a rectangle is 17 cm long and its perimeter is 49 cm.find the area of the rectangle
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
width w, length L;
d for diagonal.
d=17

2w%2B2L=49;
w%5E2%2BL%5E2=d%5E2
w%5E2%2BL%5E2=17%5E2

Solve the nonlinear system
highlight_green%28system%282w%2B2L=49%2Cw%5E2%2BL%5E2=17%5E2%29%29

Solve for a variable from the linear equation, and substitute into the Pythagorean Theorem equation, and solve for the single variable there. Finish with the other unsolved, unknown variable again using the linear equation.