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

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

varsity tutors app store varsity tutors android store

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.

Possible Answers:

(b) is greater 

(a) and (b) are equal

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

(a) is greater 

Correct answer:

(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.

Possible Answers:

(a) and (b) are equal.

(b) is greater.

(a) is greater.

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

Correct answer:

(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 .

Possible Answers:

Correct answer:

Explanation:

Divide the perimeter of a square by 4 to get its sidelength:

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: