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If the length of the diagonals AC and BD of the rectangle ABCD are given as and(as shown in figure below). Find the length of the diagonals.

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the rectangle ABCD is 10 units

the rectangle ABCD is 20 units

the rectangle ABCD is 30 units

the rectangle ABCD is 15 units

answer is A.

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Detailed Solution

According to the problem, we are given the length of the diagonals AC and BD of the rectangle ABCD are given as 2x+42x+4 and 3x+13x+1. We need to find the length of the diagonal.
Let us redraw the figure of the rectangle ABCD.
seo

So, we have

Let us substitute this in the given length to find the lengths of diagonals.
So, we get

and

The length of the diagonal of the rectangle ABCD is 10 units.
So, option 1 is correct.

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