Use the diagram to find the value of x and y​

x = 6

y = 15

Step-by-step explanation:

We can find the value for x and y using similarity ratio

8/12 = 10/y cross multiply expressions

8y = 120 divide both sides by 8

y = 15

12/(x+12) = 10/15

180 = 10x + 120 subtract 120 from both sides

60 = 10x divide both sides by 10

6 = x

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

43

step-by-step explanation: