A) 5, 8, 11
B) 32
All you must do for this question is replace the variable “n” in the equation for the number term the question asks for.
For example, in part a of the question is asks for the first 3 terms. So you would replace “n” in the equation for 1, 2, and 3 to find the first 3 terms.
For the 1st term you would do 3 * 1 +2, which would give you 5.
You do this for the rest.
First you need to make a line that is perpendicular to one side. The diagram is shown below. then the length of the line that is perpendicular to the triangle is
then the area of the equilateral triangle equals to
so the area would be
Step-by-step explanation:
area of the trapezoid = area of the 2 triangles +
area of the rectangle
i) area of triangle on left:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
ii) area of triangle on right:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
iii) area of rectangle = length × width
a = l × w
a = 12 × 9
a = 108 in²
iv) area of trapezoid = 9 + 9 + 108
= 126 in²
hope this helps you!
-s.
