Question

One side of a square of area 36 sq. cm. is coloured yellow. Find the length of the part which is

coloured yellow.

Answer 1

Let $x=$ the length of a side of the square, $x>0.$ Then the area $A$ of a square will be

$$A=x^2$$

Given $A=36$. Substitute

$$x^2=36, x>0$$

Hence $x=\sqrt{36}=6(cm).$

Therefore, the length of the part which is coloured yellow is 6 cm.