Question

The length of the diagonal of a rectangular park is 15 m and one of its sides is longer than another by 3 m.​

Answer 1

Answer:

The pythangorean theorem tells us that  a2+b2=c2  where a and b are the two sides of the rectangle and c is the diagonal.

So lets name the short side of the rectangle a

Lets call the longer side of the rectangle b.

152=a2+b2  

However, we know that b = a+3

so

152=a2+(a+3)2  

Now if you expand that out , you’ll get a quadratic equation:

−2a2−6a+216=0  

The solutions are  a=−12  or  a=9  

Since a rectangle can’t have a negative length, we are only left with one answer, 9.