The value of DP in the rectangle QUAD can be gotten by equating DP and DA which will be 17 units.
From the complete question, DP = 4x + 1, and PA = x + 13. In this case, the value of DP will be calculated thus:
DP = DA (property of rectangle)
4x + 1 = x + 13
Collect like terms
4x - x = 13 - 1
3x = 12
Divide both side by 3
3x/3 = 12/3
x = 4
Therefore, DP will be:
= 4x + 1
= 4(4) + 1
= 16 + 1 = 17
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