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

The enlarged picture will cover 12.5 square inches in the paper.

Explanation:

For the original picture, height is
`2(1)/(2)` inches and length is
`1(1)/(4)` inches.

The height of the enlarged picture is 5 inches.

Suppose, the length of the enlarged picture is
`x` inches.

As he enlarges the picture proportionally, so the equation according to the ratio of height and length will be.......

`(5)/(x)=(2(1)/(2))/(1(1)/(4))\\ \\ (5)/(x)=((5)/(2))/((5)/(4))\\ \\ (5)/(x)=(5* 4)/(2* 5)\\ \\ (5)/(x)=(20)/(10)\\ \\ 20x=50\\ \\ x=(50)/(20)=(5)/(2)=2.5`

Thus, the length of the enlarged picture is 2.5 inches.

So, the area of the enlarged picture
`=(5* 2.5)sq.inch = 12.5sq.inch`