Anѕwєr :
Width = 21 feet
Length = 42 feet
Explαnαtion :
Let us suppose the width as w and length as l.
According to the question, the length is twice the width.
→ l = 2w⠀⠀⠀⠀⠀⠀⠀⠀⠀… ( 1 )
Also, perimeter of the rectangle is 126 feet. We know that,
★ Perimeter of rectangle = 2(length + width)
→ 126 = 2(l + w)
→ 126 = 2(2w + w) ⠀⠀⠀⠀⠀⠀⠀⠀[ l = 2w ]
→ 126 ÷ 2 = 3w
→ 63 = 3w
→ 63 ÷ 3 = w
→ 21 feet = Width
Also, from ( 1 ) :
→ l = 2w
→ l = 2(21 feet)
→ l = 42 feet
→ Length = 42 feet
∴ The length of the rectangle is 42 feet and the width of the rectangle is 21 feet.