The length of a rectangle is 6 cm more than the width. A square can be found by tripling the width of the rectangle and reducing its length by 2cm. Find the dimensions of the rectangle.
Let the length of the rectangle = L
Then the width is L - 6
Tripling the width = 3(L-6) = 3L-18
Reducing the length by 2 cm gives L - 2
Since the sides of the squares are the same.....this implies that
3L- 18 = L - 2 add 18, subtract L to / from both sides and we have that
2L = 16 divide both sides by 2
L = 8
So....the dimensions of the rectangle must be
L = 8 and width = L - 6 = 8 - 6 = 2
Does this make sense????