Question

Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5 inches. Which rectangle represents the original photograph?

Rectangle
A
B
C
D
Width
1.5
3.5
6
15
Length
2.5
5.5
10
25

Answer 1

The correct option is C.

Explanation:

Let the original size of the photograph be x by y.

It is given that Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer.

The new size of the photograph is 0.5x by 0.5y.

It is given that the image on the screen measures 3 inches by 5 inches.

`0.5x=3`

Divide both sides by 0.5.

`x=6`

`0.5y=5`

Divide both sides by 0.5.

`y=10`

Therefore the original size of the photograph is 6 by 10. Option C is correct.

Answer 2

The correct option will be: Rectangle C (Width= 6 and Length= 10)

Explanation:

Suppose, the length of the original photograph is
`x` inches and width is
`y` inches.

Hiroto reduces the photograph by 0.5 by scanning it onto his computer.

So, the length of the scanned image
`=0.5x` inches and width
`=0.5y` inches.

Given that, the length and width of the image on the screen are 5 inches and 3 inches respectively. That means.........

`0.5x=5\\ \\ x=(5)/(0.5)=10\\\\\\ and\\ \\ 0.5y=3\\ \\ y=(3)/(0.5)=6`

So, the rectangle
`C` represents the original photograph, which has width as 6 inches and length as 10 inches.