Answer:
Perimeter ratio = 2:1
Area ratio = 4:1
Step-by-step explanation:
Perimeter
Perimeter of the smaller photo = [tex]2l+2w[/tex]
[tex]=2(5)+2(4)[/tex]
[tex]=18[/tex] inches
Perimeter of larger photo = [tex]2l+2w[/tex]
[tex]=2(10)+2(8)[/tex]
[tex]=36[/tex] inches
Ratio:
Perimeter of larger photo : perimeter of smaller photo = [tex]36:18[/tex]
[tex]=2:1[/tex]
Area
Area of smaller photo = [tex]lw[/tex]
[tex]=5\times4[/tex]
[tex]=20[/tex] inches²
Area of larger photo = [tex]lw[/tex]
[tex]= 10\times8[/tex]
[tex]=80[/tex] inches ²
Ratio
Area of larger photo : area of smaller photo = [tex]80:20[/tex]
[tex]=4:1[/tex]
∴The ratio of the perimeters = 2:1, and the ratio of the areas = 4:1
Hope this helps :)
