How do you find the dimensions of a rectangle if the length is 1 more than twice the the width and the area is 55 m?
The wide is 5m and the length is 11m.
First, let's have the width represented by
We know the area of a rectangle is:
We are also told the length is 1 more than twice the width so we can write"
Substituting this into the formula for area along with the given area of 55 gives:
55 = w*(2w + 1)#
Solving this gives:
We can now solve each term for 0:
Because the width of a rectangle must be positive the width of this rectangle is