Question

17. The length of a rectangle is 6 m less than twice its breadth. If the perimeter of the rectangle is 54 m. find
length and breath​

Answer 1

Answer:

length = 16m

breath = 11m

Step-by-step explanation:

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Let,

Breadth = x

therefore,. Length = 2x-6

perimeter = 54m

Perimeter of rectangle = 2(l+b)

2(x+2x-6) = 54m

x+2x-6 = 27

3x-6 = 27

3x = 33

x=11

hence,

Breadth = x = 11 m

Length = 2x-6 = 16 m

Answer 2

Given that:

• Length of rectangle is 6 m less than twice its breadth.
• The perimeter of rectangle is 54 m.

To Find:

• Its length and breadth.

Let us assume:

• The breadth of the rectangle be x.
• Length = 2x - 6

Formula used:

• Perimeter of a rectangle = 2(Length + Breadth)

Finding its length and breadth:

According to the question.

ㅤ↠ㅤ54 = 2(2x - 6 + x)

ㅤ↠ㅤ2(27) = 2(3x - 6)

Cancelling 2 both sides.

ㅤ↠ㅤ27 = 3x - 6

ㅤ↠ㅤ3x = 27 + 6

ㅤ↠ㅤ3x = 33

ㅤ↠ㅤ3x = 3(11)

Cancelling 3 both sides.

ㅤ↠ㅤx = 11

Hence,

• Breadth = x = 11 m
• Length = 2x - 6 = 2(11) - 6 = 22 - 6 = 16 m