Question

Your making a mosaic design on a square table top. You have already covered half of the table top with 150 1-inch square tile pieces. a. What are the dimensions of the table top? b. What is the measure of the diagonal from one corner to the opposite corner of the table top?

Answer 1

Since this table top is a square, we would expect it to have the same sides. So if your halfway, we can add another 150 1-inch square tile pieces, which makes it 300 inches (150 + 150 = 300; then multiplied by 1 inch).

(a) The dimension can be described using length and width values. So, its dimension is 300 x 300 inches.

(b) The diagonal from one corner to the opposite corner is calculated using the formula: d= √2a, where a represents the measurement of 1 side. Using the values and formula, the diagonal therefore measures 424.26 inches.