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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?
 one year ago
 one year ago
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?
 one year ago
 one year ago

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momomalinkaBest ResponseYou've already chosen the best response.0
dw:1343519419666:dw they are all the same size I just can't draw
 one year ago

RomeroBest ResponseYou've already chosen the best response.0
This can be anything....
 one year ago

RomeroBest ResponseYou've already chosen the best response.0
do we know the measurements of the cards or a better picture?
 one year ago

momomalinkaBest ResponseYou've already chosen the best response.0
dw:1343519858074:dw does that make you happy?
 one year ago

RomeroBest 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
 one year ago

momomalinkaBest 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
 one year ago

silverninjaBest ResponseYou've already chosen the best response.0
The short sides are 4s and the longer ones are 5s
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
\[A=5w\times(w+l)\]
 one year ago

eohjelleBest 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.
 one year ago

momomalinkaBest 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?
 one year ago

momomalinkaBest 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????
 one year ago

eohjelleBest 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 :)
 one year ago

momomalinkaBest ResponseYou've already chosen the best response.0
dw:1343521248378:dw is that right so far?
 one year ago
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