Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall but its length is unknown. Each section will be a different color, so they need to know the area if each section. Write a expression for the total area of the wall. Explain how you came up with your expression.

Answer:

50

Step-by-step explanation:

5×10=50

The equation for the area of the wall can be written as [tex](10\times L)=10\times (L_T+ L_1+L_2+L_3+L_4)[/tex].

Given to us:

Todd and his friends are painting 5 equal sections of a wall. So,

total number of sections wall has = 5,

Height of the wall = 10 feet,

Also, we know;

area of rectangle = length x breadth,

area of wall = length x height,

So,

Area of wall = Area painted by Todd and his friends

height of the wall x Total length of the wall =

         height of the wall x length of the wall painted by Todd

     +  height of the wall x length of the wall painted by friend 1

     +  height of the wall x length of the wall painted by friend 2

     +  height of the wall x length of the wall painted by friend 3

     +  height of the wall x length of the wall painted by friend 4

Therefore,

[tex](10\times L)=(10\times L_T)+(10\times L_1)+(10\times L_2)+(10\times L_3)+(10\times L_4)[/tex]

taking 10 as common,

[tex](10\times L)=10\times (L_T+ L_1+L_2+L_3+L_4)[/tex]

Hence, the equation for the area of the wall can be written as [tex](10\times L)=10\times (L_T+ L_1+L_2+L_3+L_4)[/tex].

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