Question

the length of a rectangular plot exceeds its breadth by 5 if the perimeter of the plots each 142 metres find the dimension of plot

Answer 1

Answer:

Given that

l=b+5

⇒2(l+b)=142

⇒2(b+5+b)=142

⇒b+5+b=71

⇒2b+5=71

⇒2b=66

⇒b=33cm

⇒l=33+5=38cm

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Answer 2

Given:

Perimeter of the rectangular plot = 142 m

The length of a rectangular plot exceeds its breadth by 5.

To Find:

The length of the rectangular plot.

The breadth of the rectangular plot.

Solution:

We know that,

l = Length

b = Breadth

p = Perimeter

Let the breadth of the rectangular plot be x. Then the length would be x + 5.

By the formula,

Perimeter of a rectangular = 2(Length + Breadth)

Substituting their values,

2(x + 5 + x) = 142

2(2x + 5) = 142

By transposing 2,

2x + 5 = 142/2

2x + 5 = 71

By transposing 5,

2x = 71 - 5

2x = 66

Finding x,

x = 66/2

x = 33

Finding their dimensions,

Breadth = x = 33 m

Length = x + 5

→ 33 + 5 = 38 m

$\therefore$ The length and breadth of the rectangular plot is 38 m and 33 m respectively.

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