Question

HELPP !!! The area of a small square tray is 25 square inches. If the sides of the tray were TRIPLED, what

would be the area of the new, larger tray?

Answer 1

Explanation:

just think it through.

how do you get the area of a square ?

it is

side × side = side²

hence the name square.

so, now, let's call the original area "area_old".

area_old = 25 = side²

what about "area_new", when the sides are tripled ?

that means each side is no longer "side" long but "3×side".

let use that in our area equation

area_new = (3×side)² = 9×side²

aha !

what exactly did we just have that equaled side² ?

right, area_old.

so,

area_new = 9 × area_old = 9×25 = 225 in²

Answer 2

225-inch square.

Explanation:

we do know that the tray is square, and the square's area is s*s.

we also know that the total area of the small square tray is 25 inches square, so one side is 5 by square rooting.

If tripled, all sides will become s*3.

s = 5 in the case of the tray, so the new side will be s = 5*3 = 15 inches.


Therefore the new area of the tray will be 15*15 = 225 Inch square.