A school flag consists of three rectangular sections that each have a different color. In the diagram, a represents the width of the green section in inches
2
3
Write an expression to represent the
area of the flag as the sum of the areas
of each section.
Green
2x+21
+3
Purple
11
Orange
1) Write an expression to represent the area
of the flag as the product of the flag's
length and width
7
&
9
2+
?)
4
56

in both cases

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have the following given parameters

Green Section: Dimension: x by 2

Orange Section: Dimension: 2 by

Purple Section: Dimension: 3 by (x + )

Solving (a): Area of the flag as a sum of each section

We simply calculate the area of each section.

For the green section;

For the orange section

For the purple section

Total Area = Sum of the above areas

Collect Like Terms

Solving (b): Area of the flag as a product

From the attachment,

Take LCM

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺