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Answer :
Answer:
[tex] \huge{ \boxed{44 \: \: \text{inches}}}[/tex]
Explanation:
To find the perimeter of the rectangle, we must first find the width of the rectangle given it's length and area then use it to find the perimeter of the rectangle.
Let the width be represented by w
Area of a rectangle = length × width
From the question.
Area = 105 sq. in
length = 7 in
[tex]105 = 7 \times w \\ 105 = 7w \: \: \: \: \: \: \\ \\ \frac{105}{7} = \frac{7w}{7} \\ w = 15[/tex]
width = 15 in
Perimeter of a rectangle(p) = 2l + 2w
l is the length of the rectangle
w is the width of the rectangle
[tex]p = 2(7) + 2(15) \\ p = 14 + 30 \\ \\ p = 44[/tex]
We have the final answer as
44 inches
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