Find the m K
Н
26
FIRST correct answer gets brainiest

128.2

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:

\begin{gathered}\frac{OL}{HK}=\frac{ON}{KJ}substituting:frac{OL}{42}=\frac{58}{19} text{\O}L=\frac{58*42}{19} text{\O}L=128.2\end{gathered}

HK

OL

=

KJ

ON

substituting:

42

OL

=

19

58

text\OL=

19

58∗42

text\OL=128.2

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2