Question
The diagonal of a rectangular field is 16 metres more than the shorter side. If the longer side is 14 metres more than the shorter side, then find the lengths of the sides of the field.
Solution
Let the shorter side of the rectangular field be x m.
Then, diagonal of the rectangular field = ( x+ 16) m
Also, longer side of the rectangular field = (x +14) m
In right ΔABC
Since length cannot be negative, so x = 10
therefore, the length of the shorter side = 10 m
Length of the diagonal = 10 +16 = 26m
Length of the longer side = 10 +14 = 24
Hence, the length of the sides of the rectangular field is 10 m and 24 m.
Also, longer side of the rectangular field = (x +14) m
In right ΔABC
Since length cannot be negative, so x = 10
therefore, the length of the shorter side = 10 m
Length of the diagonal = 10 +16 = 26m
Length of the longer side = 10 +14 = 24
Hence, the length of the sides of the rectangular field is 10 m and 24 m.
