Question

A rectangular flower bed is 7 m long. If the boundary

around the bed is 22 m long, find its breadth. Also,
find its area.

need full solution ​

Answer 1

Given :-

• Length of flower bed = 7 m

• Perimeter of boundary = 22 m

To Find :-

• Breadth
• Area

Solution :-

As we know that

`\sf \blue{Perimeter = 2(l + b)}`

• 22 = 2(7 + b)

• 22 = 14 + 2b

• 22 - 14 = 2b

• 8 = 2b

• 
  `\sf \: (8)/(2) = b`

• 
  `\bold{\boxed{b=4}   }`

Breadth = 4 m.

Now,

`\sf \orange{Area = l * b}`

• 
  `Area = 7 * 4`

• 
  `\sf \: Area = 28 \: {m}^(2)`

Area=28
`\bold{ m^2  }`