Math, asked by sairambanavathu80, 23 hours ago

A distance around a rectangular field is 400 meters. The length of the field is 26 meters more than the breath. Calculate the length and breadth of the field?​

Answers

Answered by nishamanjeet6
0

374ieurjrjrkjrkrjrjdkdnndjdjd

Answered by deepakjagat33
0

Answer:

Register

1 A1 B1 C1 D1 E234567891011121314

Q. 83.9( 26 Votes )

<span lang="EN-US

Class 8thAP - Mathematics2. Linear Equations in One Variable

Answer

Let the breadth (b) of the rectangular field be x meters.

The length of the field is 26 meters more than the breadth.

∴ The length of the rectangular field = l = (x + 26) meters.

The distance around the field = 400 meters.

The distance around the field = Perimeter of the field Perimeter of rectangle = 2 (l + b)

According to the given condition,

2 (x + 26 + x) = 400

⇒ 2 (2x + 26) = 400

⇒ 4x + 52 = 400 (Removing bracket)

⇒ 4x = 400 – 52 (Transposing 52 to RHS)

4x = 348

⇒ x =

348÷4

(Transposing 4 to RHS)

x = 87

The breadth of the field = x = 87 meters.

The length of the field = x + 26 = 87 + 26 = 113 meters.

∴ The length and breadth of the rectangular field is 113 meters and 87 meters respectively.

Similar questions