# The playing surface in the game of curling is a rectangular sheet of ice with an area of about 225m^2. The width is about 40 m less than the length. How do you find the approximate dimensions of the playing surface?

##### 1 Answer

May 22, 2016

Express width in terms of length, then substitute and solve to arrive at the dimensions of

#### Explanation:

We start with the formula for a rectangle:

We're given the area and we know that the width is 40m less than the length. Let's write the relationship between L and W down:

And now we can solve

I'm going to subtract

Now let's factor and solve for L:

and

So L = 45. Now let's solve for W:

So the dimensions are