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. 

\(\displaystyle 63\div9=7\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 99\) 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 \(\displaystyle 99\) squares. Our rectangular array is \(\displaystyle 11\) squares high. 

\(\displaystyle 99\div9=11\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 117\) 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 \(\displaystyle 117\) squares. Our rectangular array is \(\displaystyle 13\) squares high. 

\(\displaystyle 117\div9=13\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 29\) 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 \(\displaystyle 29\) squares. Our rectangular array is \(\displaystyle 9\) squares high with \(\displaystyle 2\) squares left over, which is our remainder.

\(\displaystyle 29\div3=9\ R2\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 19\) 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 \(\displaystyle 19\) squares. Our rectangular array is \(\displaystyle 6\) squares high with \(\displaystyle 1\) square left over, which is our remainder. 

\(\displaystyle 19\div3=6\ R1\)

Using our problem to make a rectangular array, we know that we are going to use a total of \(\displaystyle 50\) 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 \(\displaystyle 50\) squares. Our rectangular array is \(\displaystyle 12\) squares high with \(\displaystyle 2\) sqaures left over, which is our remainder. 

\(\displaystyle 50\div4=12\ R2\)