ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the area of a square
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.
The perimeter of a square is one yard. Which is the greater quantity?
(a) The area of the square
(b) square foot
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
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?
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
The perimeter of a square is . Give the area of the square in terms of
.
A square lawn has sidelength twenty yards. Give its area in square feet.
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
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
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