Question

the distance around a rectangular field is 400 metres the length of the field is 26 metres more than the bread calculate the length and breadth of the field

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Length of the Rectangle is 113 m and Breadth is 87 m.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Distance around the Rectangle = 400 m

Length of the Rectangle = 26 m more than its Breadth

To Find :

The Length and Breadth of the Rectangle

Solution :

Consider the -

• Breadth as x
• Length as (x + 26)

⛦ Perimeter = $\boxed{\sf{2(Length+Breadth)}}$

$\longrightarrow$ 2(x + 26 + x) = 400

$\longrightarrow$ 2x + 52 + 2x = 400

$\longrightarrow$ 4x + 52 = 400

$\longrightarrow$ 4x = 400 - 52

$\longrightarrow$ 4x = 348

$\longrightarrow$ x = 348/4

$\longrightarrow$ x = 87

$\rule{300}{1.5}$

★ Value of (x + 26)

$\longrightarrow$ 87 + 26

$\longrightarrow$ 113

$\therefore$ The Length of the Rectangle is 113 m and Breadth is 87 m.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

Solve and check if the Perimeter of the Rectangle is 400m.

$\longrightarrow$ 2(113 + 87) = 400

$\longrightarrow$ 226 + 174 = 400

$\longrightarrow$ 400 = 400

$\therefore$ The Length of the Rectangle is 113 m and Breadth is 87 m.

Answer 2

Answer:

Step-by-step explanation:

perimeter of the rectangular field= 400m

let breadth of the field= x

then length of the field= x+26

perimeter of the rectangular field=

2(length+breadth)

2(x+x+26)=400

2x+26= 200

2x= 174

x = 87

breadth = 87m

length=87+26=113m