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momomalinka
Group Title
what is the easiest and fastest way to solve this?
Nine playing cards from the same deck are placed as shown in the figure below to form a large rectangle of area 180 sq. in. How many inches are there in the perimeter of this large rectangle?
 2 years ago
 2 years ago
momomalinka Group Title
what is the easiest and fastest way to solve this? Nine playing cards from the same deck are placed as shown in the figure below to form a large rectangle of area 180 sq. in. How many inches are there in the perimeter of this large rectangle?
 2 years ago
 2 years ago

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momomalinka Group TitleBest ResponseYou've already chosen the best response.0
dw:1343519419666:dw they are all the same size I just can't draw
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.0
This can be anything....
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.0
do we know the measurements of the cards or a better picture?
 2 years ago

momomalinka Group TitleBest ResponseYou've already chosen the best response.0
dw:1343519858074:dw does that make you happy?
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.0
w*l=180 2*w+2*l=? This is a system of equations with an infinite number of solutions because we don't have enough information
 2 years ago

momomalinka Group TitleBest ResponseYou've already chosen the best response.0
Iit HAS an answer the answer is 58 but I don't know how to get there
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[P=6\ell+7w\]
 2 years ago

silverninja Group TitleBest ResponseYou've already chosen the best response.0
The short sides are 4s and the longer ones are 5s
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[A=5w\times(w+l)\]
 2 years ago

eohjelle Group TitleBest ResponseYou've already chosen the best response.0
From the illustration we can see that 5 breadths are equal to 4 lengths, which is equal to the length of the whole rectangle. 5b = 4l = L We also know the area of the large rectangle. From this we can create a system of equations, which we can use to solve. Notice also that the height of the rectangle is equal to a breadth and a length. h = b + l Now for the system of equations, which expresses the area (given by A = h*L): (b+l)*5b=180 (1) (b+l)*4l=180 (2) If we solve this system of equations we will get a value for the breadth and width, which we can use to find the perimeter.
 2 years ago

momomalinka Group TitleBest ResponseYou've already chosen the best response.0
okay so 5b^2+5Bl=180 and 4lb+4l^2=180 then use the process of elimination?
 2 years ago

momomalinka Group TitleBest ResponseYou've already chosen the best response.0
i did 20b^2+20bl=720 multiplied by 4 + 20l^220bl=900 multiplied by 5 20bl cancels out so 20b^220l^2=180 now what????
 2 years ago

eohjelle Group TitleBest ResponseYou've already chosen the best response.0
Now you have to find an expression for either b^2 or l^2 and substitute into one of the original equations :)
 2 years ago

momomalinka Group TitleBest ResponseYou've already chosen the best response.0
dw:1343521248378:dw is that right so far?
 2 years ago
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