Its perimeter if 90 ft.
What is the formula of rectangle's area ?
If length of the rectangle be l & width of the rectangle be w.
Then Area of the rectangle (A) = Length × Width
= (l × w) sq. unit
What is the formula of rectangle's perimeter ?
If length of the rectangle be l & width of the rectangle be w.
Then, Perimeter of the rectangle = 2×(l+w) unit
What is the required perimeter ?
Given, Area of the rectangle = 324 sq. ft
Let, Width (w) = x unit
So, Length (l) = 4 times it's width = 4x unit
∴ Area = l × w = (4x)(x)
⇒ 324 = 4x²
⇒ x² = 324/4
⇒ x² = 81
⇒ x = [tex]\sqrt{}[/tex]81
⇒ x = 9 (neglecting negative value)
So, it's width = 9 ft.
Then, its length = (4×9) ft. = 36 ft.
∴ Perimeter = 2×(l+w) = 2×(36+9) ft. = (2×45) ft. = 90ft.
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