Question

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16. 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.
8. TI
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Answer 1

Correct 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.

Solution :

The length of a rectangular flower bed is 7 m .

Let its breadth be x meters .

The perimeter of the flower bed becomes:

> 2 [ Length + Breadth]

■ 2 [ x + 7 ] .

However , the boundary of the bed is given as 22 m

So,

2( x + 7) = 22

■ x + 7 = 11

> x = 4 metres.

Thus , the breadth of the flower bed is 4 metres .

The area of the bed is 28 m² .

This is the required answer .

_____________________________________

Answer 2

Answer:

Given :-

• Length of flower bed = 7 m
• Perimeter of boundary = 22 m

To Find :-

Breadth

Area

Solution :-

As we know that

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

$\sf \: 22 = 2(7 + b)$

$\sf \: 22 = 14 + 2b$

$\sf \: 22 - 14 = 2b$

$\sf \: 8 = 2b$

$\sf \: \dfrac{8}{2} = b$

Breadth = 4 m

Now,

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

$\sf \: Area = 7 \times 4$

$\sf \: Area = 28 \: {m}^{2}$

Verification :-

22 = 2(7 + 4)

22 = 14 + 8

22 = 22