Question

The diagonal of a rectangular field is 16m longer than the shorter side .the longer side is 14 more than the shorter side then find the length of the side of a field.

Answer 1

Let the shorter side be x
diagonal will be (16 +x) m
length = (14+x)
By Pythagors' theorem,
(16 +x)² = x² + (14 +x)²
⇒256 +x² +32 x = x² + 196 +x² + 28x
⇒x² -4x -60 =0
⇒x² - 10x + 6x - 60 =0
⇒x (x-10) +6(x -10)=0
⇒x = 10 or -6
negative side is impossible
so length of smaller side = 10 m
longer side = 24 m
diagonal = 26 m