Question

The length of a rectangle is 1 cm longer than its width. if the diagonal of the rectangle is 5 cm, calculate the dimensions (the length and width) of the rectangle?

Answer 1

let length be x +1 then breadth x.
By using Pythagoras theorem
5^2=(x+1)^2+x^2
25=x^2+2x+1+x^2
24=2x^2+2x
0=2x^2+2x-24
x^2+x-12=0
x^2+4x-3x-12=0
x(x+4)-3(x+4)=0
so length is 4cm and breadth is 3 cm

Answer 2

Here is your answer. Thanks.