Answer:
44cm
Step-by-step explanation:
The information we have is:
Area: [tex]Area=105cm^2[/tex]
width: [tex]w= 7cm[/tex]
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To find the perimeter first we need to find the length of the rectangle.
We find it with the formula for the area of a rectangle:
[tex]Area=width*length[/tex]
so clearing for length:
[tex]length=\frac{Area}{width}[/tex]
substituting known values:
[tex]length = \frac{105cm^2}{7cm}\\ length = 15cm[/tex]
And now we can calculate the perimeter:
[tex]perimeter = 2(width+length)\\perimeter = 2(7cm+15cm)\\perimeter =2(22cm)\\perimeter=44cm[/tex]
the perimeter of the rectangle is 44cm
