Question

How do you find the area of a rectangle if the length of one of it's sides is 3m and diagonal is 9m?

Answer 1

`25,456m^2`

Explanation:

Form Pythagoras Theorem, we may find the length of the other side (x) since the two sides (x and y) and the diagonal (d) make a right angled triangle with the diagonal as the hypotenuse.

`therefore d^2=x^2+y^2`

`therefore x=sqrt(9^2-3^2)=sqrt72` m

Hence the area may be given by length x breadth as follows :

`A=xy=3sqrt72=25,456m^2`