Answer:
18
Explanation:
The arrows on lines AB and CD indicate that these 2 shapes are similar and these 2 lines are corresponding so :
Linear scale factor :
12 ÷ 10 = 1.2 or 6/5
Let's use the fraction form
Using the linear scale factor we can make an equation to solve for x :
2x+4 = 6/5(x+8)
Expand the brackets :
2x+4 = 6/5x + 9.6
Subtract 4 from both sides :
2x = 6/5x + 5.6
Subtract 6/5x from both sides :
4/5x = 5.6
Divide both sides by 4/5 :
x = 7
Now substitute this value into the expression for the length of AE :
AE = 2(7) + 4
AE = 14 + 4
AE = 18
Hope this helped and have a good day