Name: 
 

Area Formulas - Post-test



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

The accompanying diagram shows a square with side y inside a square with side x.
mc001-1.jpg
Which expression represents the area of the shaded region?
(NY Regents 2003)
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 

A circular garden has a diameter of 12 feet. How many bags of topsoil must Linda buy to cover the garden if one bag covers an area of 3 square feet?
(NY Regents 2007)
a.
38
c.
151
b.
13
d.
40
 

 3. 

What is the length of one side of the square whose perimeter has the same numerical value as its area?
(NY Regents 2006)
a.
4
c.
3
b.
5
d.
6
 

 4. 

A dog is tied with a rope to a stake in the ground. The length of the rope is 5 yards. What is the area, in square yards, in which the dog can roam?
(NY Regents 2006)
a.
mc004-1.jpg
c.
20
b.
25
d.
mc004-2.jpg
 

 5. 

The equation mc005-1.jpg is used to find the area of a trapezoid. Which calculation would not result in the correct area?
(NY Regents 2006)
a.
0.5(12)(10)
c.
mc005-2.jpg
b.
6(3 + 7)
d.
mc005-3.jpg
 

 6. 

A farmer has a rectangular field that measures 100 feet by 150 feet. He plans to increase the area of the field by 20%. He will do this by increasing the length and width by the same amount, x. Which equation represents the area of the new field?
(NY Regents 2004)
a.
(100 + 2x)(150 + x) = 18,000
c.
(100 + x)(150 + x) = 18,000
b.
(100 + x)(150 + x) = 15,000
d.
2(100 + x) + 2(150 + x) = 15,000
 



 
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