the length and breadth of a rectangular plot are in ratio 4 ratio 3 if the area of the plot is 1728msquare, find its perimeter
Answers
Answered by
50
Answer:
Let the length and breadth be denoted as 4x and 3x respectively.
Also given that Area of the plot is 1728 m²
⇒ 4x × 3x = 1728 m²
⇒ 12x² = 1728 m²
⇒ x² = 1728 / 12 m²
⇒ x² = 144 m²
⇒ x = √144 m² = 12 m
Hence Breadth = 4x = 4 × 12 = 48 m, Length = 3x = 3 × 12 = 36 m.
Perimeter of the plot = 2 ( l + b )
⇒ Perimeter of the plot = 2 ( 48 + 36 )
⇒ Perimeter of the plot = 2 ( 84 ) = 168 m
Hence the perimeter of the plot is 168 m.
Answered by
3
Solutions:
Let the length and breadth = 4x and 3x.
Area of the plot = 1728m²
4x × 3x = 1728
12x² = 1728
x² = 1728/12
x² = 144
x = √144
x = 12
silentlover45.❤️
Similar questions