Find the area of the shaded figure.

58 square units

Step-by-step explanation:

We need to find the area of the shaded figure

Lets break the figure into three parts

Top part of the figure is a rectangle

ARea of the rectangle = length times width

Length of the rectangle is 10 units and width is 5 units

Area of the top rectangle =   square units

We have two square at the bottom of the figure

side length of the square is 2 units

Area of the square =

Area of shaded figure = area of rectangle + area of square + area of square

= square units

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

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step-by-step explanation: