A rhombus-shaped tile has a side of 25 cm, and one of its diagonals measures 48 cm. What is its area in square cm?

The diagonals bisect each other at right angles, so half of the known diagonal is 24 cm and half of the other is √$(25^2-24^2)=$ √49 = 7 cm, making the second diagonal 14 cm. Area = (1/2) $x$ d₁ $x$ d₂ = $(1/2)\times 48\times 14=336$ sq cm. The trap $1200=25\times 48$ multiplies a side by a diagonal as if they were base and height; 672 forgets the 1/2 in the diagonal formula; $600=(1/2)\times 25\times 48$ pairs the side with the diagonal inside the half-product.