SOLUTION: Calculate the area of a rectangle if its length is 24cm and one of its diagonals is 74cm

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Question 1070884: Calculate the area of a rectangle if its length is 24cm and one of its diagonals is 74cm
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Here the key is to figure out the width. The length is 24cm and a diagonal is 74cm. Fortunately, the diagonal is related to the width and length as follows:
+diagonal+=+sqrt%28%28length%29%5E2+%2B+%28width%29%5E2%29+
++74+=+sqrt%2824%5E2+%2B+%28width%29%5E2%29+
++74%5E2+=+24%5E2+%2B+%28width%29%5E2+
++74%5E2+-+24%5E2+=+%28width%29%5E2+
++5476+-+576+=+%28width%29%5E2+
++4900+=+%28width%29%5E2+
++sqrt%284900%29+=+%28width%29+
++++70+=+%28width%29+
So the width is 70cm (technically width and length are swapped as length is the longer dimension)

Finally, the area = (length) x (width) = 70cm * 24cm = +highlight%281680cm%5E2%29+