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?
Stacey Warren - Expert brainly.com
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|dw:1343519419666:dw| they are all the same size I just can't draw
This can be anything....
do we know the measurements of the cards or a better picture?
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does that make you happy?
This is a system of equations with an infinite number of solutions because we don't have enough information
Iit HAS an answer the answer is 58 but I don't know how to get there
The short sides are 4s and the longer ones are 5s
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):
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.
okay so 5b^2+5Bl=180
then use the process of elimination?
i did 20b^2+20bl=720 multiplied by 4
-20l^2-20bl=-900 multiplied by -5
20bl cancels out so 20b^2-20l^2=-180
Now you have to find an expression for either b^2 or l^2 and substitute into one of the original equations :)