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

12.5 square inches.

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(1)/(2)=2.5`

`1(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}=(1.25)/(2.5)`

Let us multiply both sides of our equation by 5.

`\frac{\text{Length of picture in newspaper}}{5}*5=(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}* 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.