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The length of the diagonal of a rectangle are and .Find the length of each diagonal.

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15 Units

25 Units

10 Units

20 Units

answer is D.

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Detailed Solution

Suppose the diagonal of rectangle is as drawn in the figure

Suppose the diagonals are AC and BD
The length of AC is

and the length of BD is

.
As lengths of diagonals of rectangles are equal

On putting the value of AC and BD

On simplifying the above equation we get

Or,

Now to find the length of diagonal just put the value of x in

.
So,
⇒ Length of diagonal

.
So, the correct
Ans: is 20 units.
Hence, option 4 is the correct Ans:.

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