Question

A square has a side length of 16.5 in. If the area is multiplied by 9, what happens to the side length?

The side length is multiplied by 4.5.
The side length is multiplied by 9.
The side length is tripled.
The side length is doubled.

Answer 1

Answer: The side length is tripled.

Step-by-step explanation: Area is length times width, or in the case of a square, s²

If the area is multiplied by 9, (that is 3²) it means the sides are 3 times as long.

16.5² = 272.25

(3)(16.5) = 49.5

49.5² = 2450.25

the same as 272.25 × 9

Triple the side length results in 9 times the area.