Express the area of the entire rectangle

Step-by-step explanation:

In order to find the entire area of the rectangle, you have to first find the values of each quadrant, then you add the values together to find the answer. The top left quadrant is x times x, which is . The top right value is x times 7, which is 7x. the bottom left value is x times 5, which is 5x, and the bottom right value is 7 times 5, which is 35. Put all the answers together and you get , which simplifies to

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