SOLUTION: The diagonal of a rectangle is 10 inches and the area is 45 square inches. Find the dimensions of the rectangle, correct to one decimal place.

Algebra ->  Decimal-numbers -> SOLUTION: The diagonal of a rectangle is 10 inches and the area is 45 square inches. Find the dimensions of the rectangle, correct to one decimal place.       Log On


   

Question 1113520: The diagonal of a rectangle is 10 inches and the area is 45 square inches. Find the dimensions of the rectangle, correct to one decimal place.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


xy+=+45 the area (length times width) is 45
sqrt%28x%5E2%2By%5E2%29+=+10 the diagonal is 10

x%5E2%2By%5E2+=+100
x%5E2+%2B+%2845%2Fx%29%5E2+=+100
x%5E2+%2B+2025%2Fx%5E2+=+100
x%5E4+%2B+2025+=+100x%5E2
x%5E4+-+100x%5E2+%2B+2025+=+0

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