Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 27\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 3\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 3\) squares and keep adding \(\displaystyle 3\) on top of the previous \(\displaystyle 3\) until we've used all \(\displaystyle 27\) squares. Our rectangular array is \(\displaystyle 9\) squares high. 

\(\displaystyle 27\div3=9\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 18\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 3\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 3\) squares and keep adding \(\displaystyle 3\) on top of the previous \(\displaystyle 3\) until we've used all \(\displaystyle 18\) squares. Our rectangular array is \(\displaystyle 6\) squares high. 

\(\displaystyle 18\div3=6\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 52\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 4\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 4\) squares and keep adding \(\displaystyle 4\) on top of the previous \(\displaystyle 4\) until we've used all \(\displaystyle 52\) squares. Our rectangular array is \(\displaystyle 13\) squares high. 

\(\displaystyle 52\div4=13\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 48\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 4\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 4\) squares and keep adding \(\displaystyle 4\) on top of the previous \(\displaystyle 4\) until we've used all \(\displaystyle 48\) squares. Our rectangular array is \(\displaystyle 12\) squares high. 

\(\displaystyle 48\div4=12\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 45\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 5\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 5\) squares and keep adding \(\displaystyle 5\) on top of the previous \(\displaystyle 5\) until we've used all \(\displaystyle 45\) squares. Our rectangular array is \(\displaystyle 9\) squares high. 

\(\displaystyle 45\div5=9\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 70\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 5\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 5\) squares and keep adding \(\displaystyle 5\) on top of the previous \(\displaystyle 5\) until we've used all \(\displaystyle 70\) squares. Our rectangular array is \(\displaystyle 14\) squares high. 

\(\displaystyle 70\div5=14\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 84\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 6\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 6\) squares and keep adding \(\displaystyle 6\) on top of the previous \(\displaystyle 6\) until we've used all \(\displaystyle 84\) squares. Our rectangular array is \(\displaystyle 14\) squares high. 

\(\displaystyle 84\div6=14\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 42\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 6\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 6\) squares and keep adding \(\displaystyle 6\) on top of the previous \(\displaystyle 6\) until we've used all \(\displaystyle 42\) squares. Our rectangular array is \(\displaystyle 7\) squares high. 

\(\displaystyle 42\div6=7\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 90\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 6\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 6\) squares and keep adding \(\displaystyle 6\) on top of the previous \(\displaystyle 6\) until we've used all \(\displaystyle 90\) squares. Our rectangular array is \(\displaystyle 15\) squares high. 

\(\displaystyle 90\div6=15\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 63\) squares, and one dimension of the rectangular array is going to have \(\displaystyle 9\) squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with \(\displaystyle 9\) squares and keep adding \(\displaystyle 9\) on top of the previous \(\displaystyle 9\) until we've used all \(\displaystyle 63\) squares. Our rectangular array is \(\displaystyle 7\) squares high. 

\(\displaystyle 63\div9=7\)