The length and width of the rectangular wall is 22.4 feet and 8.2 feet respectively.
What is area?
The space occupied by a flat shape or the surface of an object is called area.
What is the area of a rectangle?
Area = length × width
According to the given question.
Area of rectangular wall = 140 square feet.
Let the width of the rectangular wall be x.
⇒ length of the rectangular wall = 6 + 2x.
Therefore,
140 = x × (2x +6) ( from the area of rectangular wall)
⇒ [tex]140 = 2x^{2} + 6x[/tex]
⇒ [tex]140 = 2(x^{2} +3)[/tex]
⇒ [tex]70 =x^{2} +3[/tex]
⇒ [tex]70-3 =x^{2}[/tex]
⇒ [tex]x^{2} = 67[/tex]
⇒[tex]x =\sqrt{67}[/tex]
⇒[tex]x = 8.18[/tex]
⇒[tex]x = 8.2feet[/tex]
Therefore, the length of the rectangular wall = [tex]6 + 2(8.2) = 22.4 feet[/tex]
Hence, the length and width of the rectangular wall is 22.4 feet and 8.2 feet respectively.
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