The area of a square mirror is 256 in². A rectangular mirror has a width the same as the square mirrors width. Its length is two inches longer than its width. What is the area of the rectangular mirror?

Width of square mirror = √256 in = 16 in

So, width of the rectangular mirror = 16 in

According to the question, length of rectangular mirror = (16+2) in = 18 in

Hence, area of the rectangular mirror = (16*18) in = 288 in square.

Area (square mirror) = side²

Therefore:

side²=256 in²

side=√ (256 in²) = 16 in

Rectangular mirror:

width = square mirror width=side=16 in

length = (width + 2 in) = 16 in + 2 in=18 in.

Area (rectangular mirror) = length x width.

Area (rectangular mirror) = (18 in) (16 in) = 288 in².

Answer: the area of a rectangular mirror is 288 in².