The length of the perimeter of the rectangle = 112 cm or 44 inches
Given in the question,
Area = [tex]105in^{2}[/tex]
= 677.4 [tex]cm^{2}[/tex]
Length of one side of the rectangle = 7 inches
= 17.7 cm
∴ Since the length of one side of the rectangle is given in the question we need to find the width of the rectangle to calculate the total perimeter of the rectangle
⇒ Area = length x width
⇒ 677.4 = 17.7 x width
⇒ Width = [tex]\frac{Area}{Length}[/tex]
⇒ Width = [tex]\frac{677.4}{17.7}[/tex]
⇒ Width = 38.2 cm
As we got both the length and the width of the rectangle, now we can calculate the perimeter,
⇒ Perimeter = [tex]2( length + width)[/tex]
⇒ Perimeter = [tex]2(17.7 + 38.3)[/tex]
⇒ Perimeter = 2 x 56 cm
⇒ Perimeter = 112 cm
⇒ In inches = 44 inches
Therefore, the length of the perimeter is = 112cm or 44 inches
To learn more about area and perimeter,
https://brainly.com/question/28424101
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