How to find the area of a square

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the area of a square

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1

The lengths of the sides of ten squares form an arithmetic sequence. One side of the smallest square measures sixty centimeters; one side of the second-smallest square measures one meter.

Give the area of the largest square, rounded to the nearest square meter.

2

The perimeter of a square is one yard. Which is the greater quantity?

(a) The area of the square

(b) square foot

3

Four squares have sidelengths one meter, 120 centimeters, 140 centimeters, and 140 centimeters. Which is the greater quantity?

(A) The mean of their areas

(B) The median of their areas

4

Rectangle A and Square B both have perimeter 2 meters. Rectangle A has width 25 centimeters. The area of Rectangle A is what percent of the area of Square B?

5

Which is the greater quantity?

(a) The area of a square with sides of length meters

(b) The area of a square with perimeter centimeters

6

The perimeter of a square is . Give the area of the square in terms of .

7

A square lawn has sidelength twenty yards. Give its area in square feet.

8

Which is the greater quantity?

(A) The area of a square with sidelength one foot

(B) The area of a rectangle with length nine inches and height fourteen inches

9

On the coordinate plane, Square A has as one side a segment with its endpoints at the origin and at the point with coordinates . Square B has as one side a segment with its endpoints at the origin and at the point with coordinates . and are both positive numbers and . Which is the greater quantity?

(a) The area of Square A

(b) The area of Square B

10

On the coordinate plane, Square A has as one side a segment with its endpoints at the origin and at the point with coordinates . Square B has as one side a segment with its endpoints at the origin and at the point with coordinates . and are both positive numbers and . Which is the greater quantity?

(a) The area of Square A

(b) The area of Square B

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