SOLUTION: what is the products of the diagonals of a rectangle with an area of 120 meters and a perimeter of 46 meters.

SOLUTION: what is the products of the diagonals of a rectangle with an area of 120 meters and a perimeter of 46 meters.

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Question 365743: what is the products of the diagonals of a rectangle with an area of 120 meters and a perimeter of 46 meters.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
2l + 2w = 46, or l+w = 23, l = 23-w.
lw = 120. By direct substitution, (23-w)w = 120, or , or
, or (w-15)(w-8) = 0. This gives w = 15 or w = 8. Since the width is usually the shorter value, then the length is 15 meters and the width is 8 meters.
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