each page of a photo album holds 3 rows of 4 square photos.the area of each photo is 25cmsquared .there is 2cm space between photos and a 3cm border around the group of pictures.what are the dimensions of one page of the photo album

Respuesta :

Each photo is square-shaped and its area is 25 sq. cm.

So, side of each photo is [tex]\sqrt{25}=5 cm.[/tex]

Let's first calculate the width of the page.

Width = Left and right border length + sum of lengths of the sides of 4 photos + spaces between 4 photos

         = (2 x 3) + (4 x 5) + (3 x 2) (Note that 3 spaces between 4 photos)

          = 6 + 20 + 6 = 32 cm.

Hence, the width of the page of the photo album is 32 cm.

Now, let's calculate its height.

Height = Top and bottom border length + sum of lengths of the sides of 3 photos + spaces between 3 photos (Note that there are 3 rows in every page)

         = (2 x 3) + (3 x 5) + (2 x 2) (Note that 2 spaces between 3 photos)

          = 6 + 15 + 4 = 25 cm.

Hence, the height of the page of the photo album is 25 cm.