Working with Quadrilaterals

Practice Questions

SAT Math › Working with Quadrilaterals

Questions
10
1

In a rectangle the shortest side is inches shorter than the longest. The area of the rectangle is square inches. How long is the longest side of the rectangle?

2

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What is the perimeter of quadrilateral ABCD above?

3

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In trapezoid ABCE, pictured above, line segment AB has a length of , line segment BC has a length of , and line segment CD has a length of . What is the area of trapezoid ABCE?

4

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Five identical squares are arranged as shown above to form one large shape. If the total area of the shape is , what is the perimeter of the shape?

5

The perimeter of rectangle R is equal to times the width of rectangle R. What is the ratio of length to width for rectangle R?

6

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Three identical squares are perfectly inscribed within a rectangle as shown above. If the perimeter of each square is , what is the area of the rectangle?

7

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A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points on his property is kilometers. If he purchases the land immediately to the north of his property, and if that land is the same width east to west but twice as long north to south, how many square kilometers of property would he then own?

8

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If the area of the parallelogram above is , what is its perimeter?

9

A computer manufacturer claims that a perfectly square computer monitor has a diagonal size of inches. However, part of the monitor is made up of a plastic frame surrounding the actual screen. The area of the screen is three times the size of that of the surrounding frame. What is the diagonal of the screen?

10

Which of the following expresses the length of the greatest distance between any two points on a square with area ?

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