Answer:
132 cm²
Step-by-step explanation:
This is a composite figure, so we want to find the area of the top rectangle and the bottom trapezoid and then add those together.
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 4 and the width is w = 7, so the area is:
A = lw
A = 7 * 4 = 28 cm²
The area of a trapezoid is denoted by: A = 
, where b1 and b2 are the bases and h is the height. Here, the two bases are 7 and 19 and the height is h = 8. So, the area is:
A =
A = 
cm²
Add these together:
28 + 104 = 132 cm²
Answer:
x = 7
Step-by-step explanation:
The angle adjacent to the 70 degree angle is also 70 degrees. We assume that there are four 90-degree angles in the center of the figure. Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).
Solving 8x - 36 + 70 + 90 = 180 for x:
8x - 36 = 20, or 8x = 56.
Dividing both sides by 8 yields x = 7.
Given the center 
and the radius 
of a circle, its equation is
In your case, the center is (-4,0), and the radius is 2. Plug these values into the generic formula and you'll get the equation.
