Answer:
33 ft²
Step-by-step explanation:
The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle
✔️Area of trapezoid = ½(a + b)h
Where,
a = 6 ft
b = 3 ft
h = 11 - 9 = 2 ft
Area of trapezoid = ½(6 + 3)*2 = 9 ft²
✔️Area of rectangle = L*W = 7 *3 = 21 ft²
✔️Area of triangle = ½bh
b = 2 ft
h = 3 ft
Area = ½*2*3 = 3 ft²
✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²
It's the first choice. If you multiply the first equation by 3, your y term is a +12, and if you multiply the second equation by 4, your y term is a -12. When you add them the y terms cancel each other out.
Answer:
C. They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.