Hector baked a cake for his moms birthday. It is in the shape of a rectangle 16 inches long and 12 inches wide. He plans to put a candle at each corner and spaced 4 inches apart along each side. How many candles will he need?

four on each long side, with on the ends two on each end between the corners. 12 candles.

To determine how many candles Hector will need, we first need to calculate the number of candles along each side of the rectangle.

Length of the rectangle: 16 inches
Width of the rectangle: 12 inches

To calculate the number of candles along the length, we divide the length by the spacing between each candle.

Number of candles along the length: (16 inches / 4 inches) = 4 candles

Similarly, to calculate the number of candles along the width, we divide the width by the spacing between each candle.

Number of candles along the width: (12 inches / 4 inches) = 3 candles

Now, we multiply the number of candles along the length by 2 (since there are two sides of the same length) and multiply the number of candles along the width by 2 (since there are two sides of the same width) to account for each side of the rectangular shape.

Total number of candles: (4 candles x 2) + (3 candles x 2) = 8 + 6 = 14 candles

Therefore, Hector will need 14 candles for his mom's birthday cake.