Respuesta :
Answer:
12.5 square inches.
Step-by-step explanation:
We have been given that Brian wants to put this picture in the school newspaper in a space that is 5 inches tall. If he enlarges the picture proportionally so that it is 5 inches tall.
The dimensions of original picture are: height=2 1/2 and length=1 1/4.
[tex]2\frac{1}{2}=2.5[/tex]
[tex]1\frac{1}{4}=1.25[/tex]
Since the picture is enlarged proportionally, so we will use proportions to find the length of picture in the newspaper.
[tex]\frac{\text{Length of picture in newspaper}}{\text{Height of picture in newspaper}}=\frac{\text{Length of original picture}}{\text{Height of original picture }}[/tex]
Upon substituting our given values in above equation we will get,
[tex]\frac{\text{Length of picture in newspaper}}{5}=\frac{1.25}{2.5}[/tex]
Let us multiply both sides of our equation by 5.
[tex]\frac{\text{Length of picture in newspaper}}{5}*5=\frac{1.25}{2.5}*5[/tex]
[tex]\text{Length of picture in newspaper}=1.25*2[/tex]
[tex]\text{Length of picture in newspaper}=2.5[/tex]
Now let us find area covered by picture in newspaper with length 2.5 inches and height 5 inches.
[tex]\text{Area covered by picture in newspaper}=5\text{ inches}\times 2.5\text{ inches}[/tex]
[tex]\text{Area covered by picture in newspaper}=12.5\text{ inches}^2[/tex]
Therefore, the picture will cover 12.5 square inches in the newspaper.
