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

• $\sf \: \dfrac{8}{2} = b$

• $\bold{\boxed{b=4}   }$ 

Breadth = 4 m.

Now,

$\sf \orange{Area = l \times b}$

• $Area = 7 \times 4$

• $\sf \: Area = 28 \: {m}^{2}$

Area=28$\bold{ m^2  }$