Answer:
Note that I slightly misread the question and in the steps below found the answer to the nearest thousandth. To the nearest hundredth though, the rectangle has a length of 6.69cm, and a width of 1.35 cm.
Step-by-step explanation:
We are told that the rectangle has an area of nine square centimetres, and that it's length is 4 centimetres more than twice its width. We can express those as:
and
We also know that the area of a rectangle is its length times its width:
We can take that last expression, and plug in the other two, to solve for w
We can then plug that into expression "l = 2w + 4" to find the length:
Now let's see if we have that right, we can multiply these and see if we get an area of 9:
Which after accounting for rounding errors is matches the 9 square centimetres.