# ISEE Upper Level Quantitative : How to find the length of the side of a square

## Example Questions

### Example Question #1 : How To Find The Length Of The Side Of A Square

Which is the greater quantity?

(a) The sidelength of a square with area 400 square inches.

(b) The sidelength of a square with perimeter 80 inches.

It is impossible to tell which is greater from the information given

(a) and (b) are equal

(a) is greater

(b) is greater

(a) and (b) are equal

Explanation:

The sidelength of a square is the square root of its area and one-fourth of its perimeter, so:

(a) A square with area 400 square inches has sidelength  inches.

(b) A square with perimeter 80 inches has sidelength  inches.

The two quantities are equal.

### Example Question #2 : How To Find The Length Of The Side Of A Square

Which is the greater quantity?

(a) The sidelength of a square with area  square inches.

(b) The sidelength of a square with perimeter  inches.

(a) is greater.

(a) and (b) are equal.

It is impossible to tell which is greater from the information given.

(b) is greater.

(a) is greater.

Explanation:

The sidelength of a square is the square root of its area and one-fourth of its perimeter, so:

(a) A square with area  square inches has sidelength  inches.

(b) A square with perimeter  inches has sidelength  inches.

(a) is the greater quantity.

### Example Question #3 : How To Find The Length Of The Side Of A Square

The perimeter of a square is . Give the length of each side in terms of .