A brick layer is hired to build three walls of equal length. He has bricks which are 9 inches, 27

inches, and 21 inches long. He plans to build one wall out of each type of brick. What is the shortest length of wall possible?

A) 5103 inches
B) 57 inches
C) 189 inches
D) 567 inches

567

To find the shortest length of wall possible, we need to find the common factor of the lengths of the three types of bricks.

The lengths of the bricks are 9 inches, 27 inches, and 21 inches.

The common factor of 9, 27, and 21 is 3.

To find the shortest length of wall possible, we need to divide each length by the common factor of 3.

9 inches divided by 3 equals 3 inches.
27 inches divided by 3 equals 9 inches.
21 inches divided by 3 equals 7 inches.

Therefore, the shortest length of wall possible is 3 + 9 + 7 = 19 inches.

So, the correct answer is not listed among the options provided.

To find the shortest length of wall possible, we need to determine how many bricks of each type can be used for each wall while keeping the length equal.

Let's start by finding the common length for all three walls. The greatest common divisor (GCD) of 9, 27, and 21 is 3. Therefore, the common length for all three walls is 3 inches.

Next, we calculate how many bricks of each type can fit into a wall of length 3 inches.

For the 9-inch bricks, since the length of the wall is 3 inches, we can fit 3 bricks (3 x 9 = 27 inches).

For the 27-inch bricks, we can fit 1 brick, as it is already the desired length.

For the 21-inch bricks, they are longer than the desired length, so we cannot use them.

So, the total length of the shortest wall possible is 3 + 27 = 30 inches.

None of the given answer options match the correct length, 30 inches.

if the longest brick is 27 inches, it means that you have to multiply 9*27 which will give you the length of the brick wall