Question

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?

Answer 1

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.

Answer 2

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.