Answer:
220
Step-by-step explanation:
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
How much space does Lacey's mom cover in frosting?
The surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw
We can divide the top of the cake into 2 rectangles.
The rectangle on the left is 12 inches by 4 inches.
A=lw
A=12*4
A=48
There is a rectangle this size on the top and bottom of the cake, so we can multiply to find the area of both.
20*2=40
The rectangle on the right is 5 inches by 4 inches. We can use the formula A = lw to find the area.
A=lw
A=5*4
A=20
There is a rectangle this size on the top and bottom of the cake, so we can multiply to find the area of both.
48*2=96
Now we need to add in the area of the rectangles that make the sides of the cake. Let's look at the sides of the large rectangle first.
The total for these 3 surfaces is 48 .
Now let's look at the 3 remaining rectangles.
The total for these 3 surfaces is 36.
Now let's add all the surfaces together.
96+40+48+36=220
The surface area of Lacey's cake is 220 inches
