Question

The distance round a rectangular Cafe 35cm. The ratio of the length of the Cafe to it width is 3:2. Calculate the dimensions of the cafe

Answer 1

Answer:

length = 10.5cm and breadth = 7cm

Step-by-step explanation:

let the ratio of dimensions be x so length = 3x and breadth = 2x

Given :-

perimeter of rectangular cafe = 35cm

2(l+b) = 35

2(3x+2x) = 35

10x = 35

x = 3.5

hence length = 3×3.5 = 10.5cm

           breadth = 2×3.5 = 7cm

Answer 2

Answer:

$\bigstar{\bold{Length=10.5\:cm}}$

$\bigstar{\bold{Breadth=7\:cm}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Distance round the rectangular cafe = 35 cm
• Ratio of length to width = 3:2

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Length and breadth of the cafe

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Let the length of the cafe be 3x

→ Let the width of the cafe be 2x

→ Perimeter is given as 35 cm

→ Perimeter of a rectangle is given by the formula,

 Perimeter of a rectangle = 2 ( Length + Breadth)

→ Substituting the given datas we get,

  2 ( 3x + 2x ) = 35

  2 × 5x = 35

  10 x = 35

   x = 3.5

→ Length = 3x = 3 × 3.5 = 10.5 cm

→ Breadth = 2x = 2 × 3.5 = 7 cm

$\boxed{\bold{Length\:=\:10.5\:cm}}$

$\boxed{\bold{Breadth\:=\:7\:cm}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Perimeter of a rectangle = 2 (l + b)

  Area of a rectangle = l × b

  where l is the length and b is the breadth

→ Perimeter of a square = 4a

  Area of a square = a²

  where a is the side of the rectangle