Question 1113520
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{{{xy = 45}}}  the area (length times width) is 45
{{{sqrt(x^2+y^2) = 10}}}  the diagonal is 10<br>
{{{x^2+y^2 = 100}}}
{{{x^2 + (45/x)^2 = 100}}}
{{{x^2 + 2025/x^2 = 100}}}
{{{x^4 + 2025 = 100x^2}}}
{{{x^4 - 100x^2 + 2025 = 0}}}<br>
Use the quadratic formula to find the value of x^2;
take the square root to find the value of x;
divide 45 by x to find y