We have to add the areas from A to F.
We then can write:
[tex]S=A+B+C+D+E+F[/tex]
As each area is a rectangle, the area is the product of the sides.
We can also simplify and see that:
[tex]A=E=16\cdot13=208[/tex][tex]B+C+D+F=25\cdot(13+16+13+16)=25\cdot58=1450[/tex]
Then:
[tex]\begin{gathered} S=A+(B+C+D+F)+E \\ S=208+1450+208 \\ S=1866in^2 \end{gathered}[/tex]
The surface of one chest is 1866 square inches.
The four chests will represent:
[tex]4\cdot1866=7464in^2[/tex]
If each can paints 933 square inches, she will need:
[tex]\frac{7464}{933}=8\text{ cans}[/tex]
Answer:
Each chest has a surface of 1866 sq. in.
The four chest represent 7464 sq. in. of surface area.
She needs 8 cans of paint to paint all 4 chests.
