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

Answer:

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

Step-by-step 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.........

$0.5x=5\\ \\ x=\frac{5}{0.5}=10\\\\\\ and\\ \\ 0.5y=3\\ \\ y=\frac{3}{0.5}=6$

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

Answer 2

Answer:

The correct option is C.

Step-by-step 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.