B should equal 10. you just have to figure out what would get you b and then you can figure it out from there!!
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:
41 units
Step-by-step explanation:
The diagonal forms a right triangle with the sides, so we can use Pythagorean theorem.
c² = a² + b²
d² = 9² + 40²
d = 41
The diagonal is 41 units long.