Question

The distance around a rectangular field is 400 meters. The length of the field is 26 meters
more than the breadth. Calculate the length and breadth of the field?
The length ofa nectangular field is 8 meters less than twice its breadth the
of​

Answer 1

Answer: Length = 113 m

Breadth = 87 m

Step-by-step explanation:  

Let the breadth be x , so the length would be 26 + x

Perimeter = 400 m

Perimeter = 2(l+b)

= 2(l+b) = 400

= 2(26 + x + x ) = 400

= 2(26 + 2x) = 400

= 52 + 4x = 400

= 4x = 400 - 52

= 4x = 348

= x = 348 / 4

= x = 87 m

Therefore, the breadth will be 87 m and the length would be 113 m .

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Answer 2

To find - Length and breadth

Given -

Perimeter = 400 m

Let Breadth of rectangular field be x metres.

So

ATQ

Length of rectangular field = (x + 26) metres

Formula Used - Perimeter of rectangle = 2(Length + Breadth)

Putting values in formula

400 = 2 [(x +26) + x]

⇒ 400 = 2 [2x + 26]

⇒ 400 = 4x + 52

⇒ 4x + 52 = 400

⇒ 4x = 400 - 52 = 348

⇒ x  = $\frac{348}{4}$

⇒ x = 87

Answer -

Breadth = 87 m

Length = 87 + 26 = 113m