Answer:
180 in
Step-by-step explanation:
The perimeter is just the sum of the lengths of the sides of the shape.
So all we need to do here is:
40+10+(40-18)+(50-10)+18+50.
I got (40-18) for the bottom of the top rectangle, the part that is poking out.
I got (50-10) for the right side of the rectangle that is poking out towards the bottom.
40+10+(40-18)+(50-10)+18+50
40+10+22 +40 +18+50
50 +62 +68
50+62+68
112+68
180
180 in
I'm going to post a drawing here to show the lengths I was talking about:
Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Simplifying, we have;
Dividing, we get;
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.