Question

The area of a rectangular field is 2400sqm. If the length of the field is 60m, find the perimeter of​

Answer 1

Answer

200m

Step-by-step explanation:

let the breadth be b m

Area of rectangle= l x b

2400 sqm = 60m x b

b= 2400/60 = 40m

Perimeter  =    2(l+b)

                 =     2(60+40)

                 =   2(100)

                  = 200m

         

Answer 2

${\underline{\underline{\bf{Given:}}}}$

• The area of a rectangular field = $\sf{2400\:{m}^{2}}$.
• Length of the field = $\sf{60\:m}$.

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The perimeter of the field.

${\underline{\underline{\bf{Formulae\:to\:be\:used:}}}}$

$\underline{\boxed{\sf{{Area}_{(Rectangle)}=Length\times Breadth\:sq.units}}}$

$\underline{\boxed{\sf{{Perimeter}_{(Rectangle)}=2\times (Length+Breadth)\:units}}}$

${\underline{\underline{\bf{Solution:}}}}$

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎To find the perimeter of the field, first we've to check whether all the necessary measures are given. As per our question, the measure of breadth of the field is not given. So, we should find that first and then we can find the perimeter by substituting the measures in the formula. Let's do it !!

Breadth of the rectangular field:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎According to the given data of the question, the breadth of the field can be found easily if we substitute the the given measures in the formula of "area of rectangle".

$\:\:\:\:\:\:\:\implies{\sf{Area=Length\times Breadth}}$

$\:\:\:\:\:\:\:\implies{\sf{2400 = 60\times Breadth}}$

$\:\:\:\:\:\:\:\implies{\sf{\frac{240\cancel{0}}{6\cancel{0}}=Breadth}}$

$\:\:\:\:\:\:\:\implies{\sf{\frac{240}{6}=Breadth}}$

$\:\:\:\:\:\:\:\implies{\underline{\underline{\sf{40\:m = Breadth}}}}$

Now, we have obtained the measure of breadth of the field. So, lets proceed with the next step i.e, finding the perimeter of the field.

Perimeter of the rectangular field:

$\:\:\:\:\:\:\:\implies{\sf{2\times(Length+Breadth)\:units}}$

$\:\:\:\:\:\:\:\implies{\sf{2\times(60+40)}}$

$\:\:\:\:\:\:\:\implies{\sf{2\times 100}}$

$\:\:\:\:\:\:\:\implies\underline{\sf{\red{200\:m}}}$

${\underline{\underline{\bf{Final\:answer:}}}}$

• Therefore, the perimeter of the rectangular field is 200 m.

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