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Area - Polygon

For GMAT
Number of Total Problems: 8.
FOR PRINT ::: (Book)

Problem Num : 1
Type: Mathematical Writing
Section:Area 
Theme:None
Adjustment# : 1
Difficulty: 500 level

Category Polygon
Analysis 12*18=9*x Do not calculate.. First reduce a fat

Solution/Answer from the given info, 12*18=9*x. Reduce a fat by dividing both by 9. 12*2=x

Answer: E



Problem Num : 2
Type: Mathematical Writing
Section:Area 
Theme:None
Adjustment# : 1
Difficulty: 500 level

Category Polygon
Analysis The area with one side a is a^2

Solution/Answer We know what is the length of the square, which is p/4 Therefore, Area is p^2/16

Answer: E



Problem Num : 3
Type: Calculation
Section:Area 
Theme:None
Adjustment# : 5
Difficulty: 600 level

Category Polygon
Analysis Can you use 3 instead of 2.5?

Solution/Answer 36=2.5*L what do u think? will u calculate the 36/2.5? or use 36/3 instead. If you know 36/2.5 > 36/3, then u can choose the answer so quickly. Keep in mind!! this is the multiple choice question~

Answer: E



Problem Num : 4
Type: Understanding
Section:Area 
Theme:None
Adjustment# : 5
Difficulty: 600 level

Category Polygon
Analysis We need unique value for x

Solution/Answer (1) We don't know which one is 120m (2)3x can't be a 2x. So x+60=2x x will be 60.

Answer: B



Problem Num : 5
Type: Mathematical Writing
Section:Area 
Theme:None
Adjustment# : 7
Difficulty: 600 level

Category Polygon
Analysis Can you express the area using Length and Width?

Solution/Answer Length can be expressed by L=(x-3*2)/2 ----(*) so that we can make an equation as follows. Length* Width = Area (x-3*2)/2 * 3 = x 3x -18= 2x so that x =18 from (*) L=6.

Answer: E



Problem Num : 6
Type: Mathematical Writing
Section:Area 
Theme:None
Adjustment# : 30
Difficulty: 600 level

Category Polygon
Analysis We need two variables to make an equation.

Solution/Answer lets say the length and width L and W respectively. then 3*3+2*y =36 so y=13.5 3*3+2*x =24 , x=7.5

Answer: E



Problem Num : 7
Type: Mathematical Writing
Section:Area 
Theme:None
Adjustment# : 31
Difficulty: 700 level

Category Polygon
Analysis Need to calculate the area of front surface and the trim.

Solution/Answer Combine two inside rectangles. Then the area of two rectangles is 4*5. So the area of trim will be 48-4*5=28 R=the area of trim / the area of front surface = 28/48 = 7/12

Answer: D



Problem Num : 8
Type: Mathematical Writing
Section:Area 
Theme:None
Adjustment# : 35
Difficulty: 800 level

Category Polygon
Analysis Using the word "the same area", we need to make an equation.

Solution/Answer let's say the width and length 5k and 6k respectively. then area of picture will be 30k^2 And the area of frame will be 30k^2 from given condition. so that we can make a equation from given condition. 2*5k*6k= 18*15 so.. k ^2= 9/2 k=3/ sqrt(2) so that length of picture is 6k= 18/sqrt(2) = 9sqrt (2)

Answer: A



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