Question

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

Answer 1

Given :

• Perimeter of the rectangular field is 400m

• Length of the rectangular field is 26m more than Breadth

To Find :

• Length of the rectangular field

• Breadth of the Rectangular field

Solution :

Let the,

• Breadth as x

• Length as ( x + 26 )

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

$\sf{⟶2(x + 26 + x) = 400m}$

$\sf{⟶2x + 52 + 2x = 400m}$

$\sf{⟶4x + 52 = 400m}$

$\sf{⟶4x = 400 - 52}$

$\sf{⟶4x = 348}$

$\sf{⟶x = \cancel{\dfrac{348}{4} }}$

$\sf\bold{⟶ x = 87}$

∴ The value of x is 87

Hence, The required measurements are,

✰ Breadth of the rectangular field = x = 87m

✰ Length of the rectangular field = (x + 26)

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 87 + 26 = 113m

$\mathrm{\huge{\underline{\underline{Verification}}}} :-$

Perimeter of the rectangle = 2 ( length + breadth)

$\sf{⟶2(113 + 87)m = 400m}$

$\sf{⟶(226 + 174)m = 400m}$

$\sf{⟶400m ⇔400m}$

Hence, Verified

Answer 2

Answer:

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