SOLUTION: A rectangle is 2.8cm wide and the length of each diagonal is 5.3cm. Calculate the length of the rectangle

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Question 1207593: A rectangle is 2.8cm wide and the length of each diagonal is 5.3cm. Calculate the length of the rectangle
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
w=2.8cm
d=5.3cm
the length l, the width w, and one diagonal d of the rectangle form right triangle
so,
l%5E2=d%5E2-w%5E2
l%5E2=%285.3cm%29%5E2-%282.8cm%29%5E2
l%5E2=28.1cm%5E2-7.8cm%5E2
l%5E2=20.3cm%5E2+
l=sqrt%2820.3cm%5E2%29+
l=4.506cm+