Question

Alberto has four rectangular tiles. The dimensions of the tiles, in inches, are 2 x 3, 3 x 5, 1 x 4, and 4 x 6. He puts all four tiles together, without gaps or overlaps, to form a single square. What is the side length of the square?​

Answer 1

Answer:

The side length of the square is 7 inches².

Step-by-step explanation:

Given:

The dimensions of the tiles are 2 x 3, 3 x 5, 1 x 4, and 4 x 6 to form a single square.

Now, to get the length of the square formed by the tiles. We need to get the area of the square.

Area of the square formed by the four tiles = $2\times 3+3\times 5+1\times 4+4\times 6$

                                                                        = $6+15+4+24$

                                                                        = $49$

So, the area of the square is 49 inches².

Putting the formula of square for getting the side length:

Area of the square = side²

$49=side^{2}$

using square root on both sides:

$7=side$

Therefore, the side length of the square is 7 inches².