the length and breadth of a cardboard are to 1 by 5 and 11 by 5 respectively the length and breadth of a second cardboard R3 1 by 5 and 2 2 by 5 metre respectively both hard both are divided into 10 equal small pieces what is the total area of a cardboard if it is made using five smaller pieces from the first cardboard and three smaller pieces from the second cardboard

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

the one where 1 and 2 are directly across from each other.  

see image