"Annie Is Baking A Square-Shaped Cake For Her Sisters Birthday. She Is Expecting 18 Guests. She Plans To Cut The Cake Into Square-Shaped Pieces 2 Inch

Annie is baking a square-shaped cake for her sisters birthday. She is expecting 18 guests. She plans to cut the cake into square-shaped pieces 2 inches long. The cake must be big enough so each guest gets 2 pieces. What must the length of the cake be for each guest to get 2 pieces each?

 

Answer:

The length of cake to be baked is 12 inches.

Step-by-step explanation:

Number of guests: 18

Original length of squared slice of cake for each guest: 2 inches or area of 4 in²/pc.

Add another piece of square slice of cake for each guest: 2 pcs. x 4 in²/pc.

Find the length of cake so each guest gets two square slices of 4 in² cake:

A. Find the area of cake

Area = 18 × (4 in²/pc × 2 pcs.)

Area = 18 × (8 in²)

Area = 144 in²

B.  Find the length of the cake (measure of side of the cake):

Area of square = (side)²

144 in² = (side)²

√(Side²) = √(144 in²)

Side = 12 inches

Therefore, the length of each side of cake to be baked is 12 inches.


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