Question

The area of a rectangle is 105 sq in and the length of one side is 7 in. what is the length of the perimeter?

A. 22 inches
B. 27 inches
C. 35 inches
D. 44 inches
E. 49 inches

Answer 1

`\huge{ \boxed{44 \: \: \text{inches}}}`

Step-by-step 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

`105 = 7 * w \\ 105 = 7w \: \: \: \: \: \: \\ \\ (105)/(7) = (7w)/(7) \\ w = 15`

width = 15 in

Perimeter of a rectangle(p) = 2l + 2w

l is the length of the rectangle

w is the width of the rectangle

`p = 2(7) + 2(15) \\ p = 14 + 30 \\ \\ p = 44`

We have the final answer as

44 inches