Question

5. Half the perimeter of a rectangular garden, whose length is 4 m more than its width
36 Find the dimensions of the garden
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Answer 1

✬ Length = 20 m ✬

✬ Width = 16 m ✬

Step-by-step explanation:

Given:

• Length of rectangle is 4 m more than its width.
• Half of the perimeter is 36 m.

To Find:

• What are the dimensions of rectangle?

Solution: Let the measure of width of rectangle be x m. Therefore,

➟ Length of rectangle = 4 m more than x

➟ Length = (x + 4)m

As we know that

★ Perimeter of Rectangle = 2(Length + Width) ★

A/q

• Half perimeter is 36 m.
• Original perimeter = 2 × 36 = 72

$\implies{\rm }$ 2(Length + Width) = 72

$\implies{\rm }$ 2(x + 4 + x) = 72

$\implies{\rm }$ 2(2x + 4) = 72

$\implies{\rm }$ 4x + 8 = 72

$\implies{\rm }$ 4x = 72 – 8

$\implies{\rm }$ x = 64/4

$\implies{\rm }$ x = 16

So ,

• Width of rectangle is 16 m.

• Length of rectangle is x + 4

= 16 + 4

= 20 m

Answer 2

AnswEr :-

• Length = 20m
• Breadth= 16m

Given :-

• Half the perimeter of a rectangular garden is 36m.
• Length is 4m more than it's breadth.

To Find :-

• Dimensions of the garden.

SoluTion :-

Let,

• Width = x m
• Length = (x + 4)m

• Half the perimeter = 36cm
• Original perimeter = 36 × 2 = 72cm

We know that the perimeter of a rectangle is :-

2(length + breadth)

According to question :-

• 2(x + x + 4) = 72

→ 2 (2x + 4) = 72

→ 2x + 4 = 72/2

→ 2x + 4 = 36

→ 2x = 36 - 4

→ 2x = 32

→ x = 32/2

→ x = 16

• Width of the rectangle = 16m
• Length of the rectangle = 16 + 4 = 20m

Hence, the dimensions of the rectangle are 16m and 20m respectively.

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