Originally Posted by
shadow6 Alright I'm not exactly sure what category this question falls under, but it was a question part of a "completing the square" unit.
A rectangle is 6m longer than wide. The diagonal is 30m. Find the dimensions of the rectangle.
I drew a diagram, L representing Length and W representing Width.
(w)^2+(w+6)^2=(30)^2
w^2+w^2+36=900
w^2+w^2=900-36
2w^2=864
w^2=432
w=sqrt 432
w=20.8m
Then I subbed w=20.8m into L = W +6 to find L.
L = 26.8M
So the dimensions were 20.8m and 26.8m. For some reason this doesn't look right. No completing the square was involved in this question. Is my answer correct?