Friday

March 6, 2015

March 6, 2015

Posted by **Jennifer** on Wednesday, April 11, 2012 at 12:18am.

find R and W for a 3x10 rectangle

find any and all rectangles for which R and W are equal

Find any and all rectanglef for which R is twice the size of W

Find any and all rectanlges for which E is twice the size of R

- Math -
**Reiny**, Wednesday, April 11, 2012 at 9:12amfor the 3x10

total squares = 30

inner W's = 1x8 = 8

Reds = 30-8 = 12

In general

let width be x, and length be y

total squares = xy

W = (x-2)(y-2) = xy -2x -2y + 4

then R = xy - (xy - 2x - 2y +4)

= 2x + 2y - 4

for R = W

2x+2y-4 = xy - 2x - 2y + 4

4x+4y-8=xy

4y - xy = 8-4x

y(4-x) = 8-4x

y = (8-4x)/(4-x) = 4(x-2)/(x-4)

so pick any value of x , x>4 , and y an integer.

e.g. x = 8, then y = 6

x=12, y= 5

x = 60 , y ≠ integer

since the function approaches 4 as x gets larger, and we are already at y = 5 when x=12

the only two cases are :

8 by 6 or 12 by 5

for R = 2W , try it yourself

for the last one, I don't know what E is . Did you mean W ?

**Answer this Question**

**Related Questions**

Math - Ben has 8 square tiles. Each tile has a width of 9 inches. He lays the ...

math - TILING A decroative floor pattern has one red square tile surrounded by ...

Algebra 1 - While playing a game, Rachel pulls two tiles out of a bag without ...

!!MATH!! - A decroative floor pattern has one red square tile surrounded by 12 ...

Algebra 1 - While playing a game, Rachel pulls two tiles out of a bag without ...

math - ben wants to decorate his bedroom wall with colored square tiles of the ...

math - your team has two x·sq-tiles, three x-tiles, and one unit tile on his ...

math - there are 4 blue tile,s 3 yellow tiles, 5 red tiles, and 2 green tiles. ...

Algebra - A class of 23 students was using square tiles to build rectangular ...

Math 112 - A class of 23 students was using square tiles to build rectangular ...