In quadrilateral ABCD, side DC is 4, side AD is 7, side AB is the difference between sides AD and BC.
| February 26, 2021 | education
In quadrilateral ABCD, side DC is 4, side AD is 7, side AB is the difference between sides AD and BC. Find the length of side DC if the perimeter of quadrilateral ABCD is 27.
The perimeter of a quadrilateral is equal to the sum of the lengths of all sides.
In our case .
P = DC + AD + BC + DC.
Find AB.
AB = AD – DC.
AB = 7 – 4 = 3 is the length of the third side.
Find the sum of the lengths of the three sides AB AD DC.
7 + 4 + 3 = 14.
27 – 14 = 13 – BC side length.
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