Question

The breadth of rectangle is 5 less than one third of it's length .Find its dimensions ,if the perimeter is 142 cm

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Answer 1

Answer:

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Step-by-step explanation:

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Let's assume the breadth as x meters

So, the length as (x + 5) meters

According to Question,

Perimeter of Rectangular plot = 142m

2(length + breadth) = 142 m

⇒ 2(x + 5 + x) = 142

⇒ 2x + 5 = 142 / 2

⇒ 2x + 5 = 71

⇒ 2x = 71 - 5

⇒ 2x = 66

⇒ x = 66 / 2

⇒ x = 33

Required Measurements -

Breadth = x = 33 m

Length = x + 5 = 33 + 5 = 38 m

Hence, the length and breadth of the rectangular plot are 38 meters and 33 meters respectively

Answer 2

Answer :

• Length of rectangle is 57cm
• Breadth of rectangle is 14cm

Given :

• The breadth of rectangle is 5 less than one third of its length
• Perimeter is 142cm

To find :

• Dimensions

Solution :

• Let the length of rectangle be x

The breadth of rectangle is 5 less than one third of its length so,

• Breadth of rectangle = 1/3x - 5

Perimeter = 142cm

As we know that,

• Perimeter of rectangle = 2(l + b)

Where, l is length and b is breadth

》Perimeter of rectangle = 2(l + b)

》142 = 2(x + 1/3x - 5)

》142/2 = 3x + x - 15 / 3

》71 = 4x - 15 / 3

》4x - 15 / 3 = 71

》4x - 15 = 71 × 3

》4x - 15 = 213

》4x = 213 + 15

》4x = 228

》x = 228/4

》x = 57cm

• Length of rectangle is 57cm

• Breadth of rectangle = 1/3x - 5 = 1/3(57) - 5 = 1/3 × 57 - 5 = 19 - 5 = 14cm