If the base of a rectangle is 16 m and the area is 600 m2, what is the height of the rectangle?

area of a triangle is 1/2 b * h

A = 1/2 bh

600 = 1/2 * 16 * h

600= 8*h

divide by 8 on each side

75 = h

The height is 75m

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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+

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