Question

The diagonal of a rectangular field is 60 more than the shorter side. If the longer side is 30 more than the shorter side find the side of the field.​

Answer 1

Answer:

short side=30,90

long side= 60,120

Step-by-step explanation:

Given:

$d=60+a\\b=30+a$

By Pythagoras theorem:

$d^2=a^2+b^2\\ \rightarrow (60+a)^2 = a^2 +(30+a)^2\\ \rightarrow a^2-60a-2700=0\\ \rightarrow a^2-90a-30a-2700=0 \\ \rightarrow a=30 \; or \; 90 \\ \rightarrow b= 60 \; or\; 120$