Question

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, how many square inches will it cover in the paper? (Picture- height=2 1/2 length=1 1/4)

Answer 1

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.

$2\frac{1}{2}=2.5$

$1\frac{1}{4}=1.25$

Since the picture is enlarged proportionally, so we will use proportions to find the length of picture in the newspaper.

$\frac{\text{Length of picture in newspaper}}{\text{Height of picture in newspaper}}=\frac{\text{Length of original picture}}{\text{Height of original picture }}$

Upon substituting our given values in above equation we will get,

$\frac{\text{Length of picture in newspaper}}{5}=\frac{1.25}{2.5}$

Let us multiply both sides of our equation by 5.

$\frac{\text{Length of picture in newspaper}}{5}*5=\frac{1.25}{2.5}*5$

$\text{Length of picture in newspaper}=1.25*2$

$\text{Length of picture in newspaper}=2.5$

Now let us find area covered by picture in newspaper with length 2.5 inches and height 5 inches.

$\text{Area covered by picture in newspaper}=5\text{ inches}\times 2.5\text{ inches}$

$\text{Area covered by picture in newspaper}=12.5\text{ inches}^2$

Therefore, the picture will cover 12.5 square inches in the newspaper.