Find the area of the polygon

33 unit sq.

Step by step.

As we can see it is combination of three rectangles having two same small rectangkes so area of small rectangle is 2(2×3) is 12

Bow for bigger rectangle it is (7×3) is 21

so total area is 33 sq. unit

geometry: triangles

solvers

lessons

answers archive

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

its an acute right triangle

step-by-step explanation: