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 = [tex]\frac{(b_1+b_2)*h}{2}[/tex], 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 = [tex]\frac{(b_1+b_2)*h}{2}[/tex]
A = [tex]\frac{(7+19)*8}{2}=26 *4=104[/tex] cm²
Add these together:
28 + 104 = 132 cm²
