Question

Do the following quantities directly proportional? The area of a square and its sides.

a) Yes, they are directly proportional.
b) No, they are inversely proportional.
c) It depends on the size of the square.
d) They're proportional only for certain square dimensions.

Answer 1

No, the area of a square and its sides are not directly proportional.

Step-by-step explanation:

No, the area of a square and its sides are not directly proportional. Direct proportionality means that as one quantity increases, the other also increases by the same factor. In the case of a square, the area is equal to the side length squared. So if you double the side length, the area increases by a factor of four (2 squared). This means that the area of the square increases faster than its side length, indicating that they are not directly proportional.