from: category_eng

1.Mathematical Writing

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

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

Ans: E

2.Calculation

Can you use 3 instead of 2.5?

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~
Ans: E

The area with one side a is a^2

We need unique value for x

Can you express the area using Length and Width?

We need two variables to make an equation.

Need to calculate the area of front surface and the trim.

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

1. E	Mathematical Writing
The area with one side a is a^2
We know what is the length of the square, which is p/4 Therefore, Area is p^2/16

2. B	Understanding
We need unique value for x
(1) We don't know which one is 120m (2)3x can't be a 2x. So x+60=2x x will be 60.

3. E	Mathematical Writing
Can you express the area using Length and Width?
Length can be expressed by L=(x-32)/2 ----() so that we can make an equation as follows. Length* Width = Area (x-32)/2 3 = x 3x -18= 2x so that x =18 from (*) L=6.

4. E	Mathematical Writing
We need two variables to make an equation.
lets say the length and width L and W respectively. then 33+2y =36 so y=13.5 33+2x =24 , x=7.5

5. D	Mathematical Writing
Need to calculate the area of front surface and the trim.
Combine two inside rectangles. Then the area of two rectangles is 45. So the area of trim will be 48-45=28 R=the area of trim / the area of front surface = 28/48 = 7/12

6. A	Mathematical Writing
Using the word "the same area", we need to make an equation.
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. 25k6k= 18*15 so.. k ^2= 9/2 k=3/ sqrt(2) so that length of picture is 6k= 18/sqrt(2) = 9sqrt (2)