Question

the are of a rectangle is 12 7/4m2. if the measurement of its length is 7/12 m then find its breath. also find its parameter. ​

Answer 1

Given :

• The area of a rectangle is 12(7/4) m².

• The measurement of its length is 7/12 m.

To find :

• Breadth of the rectangle =?

• Perimeter of the rectangle =?

Step-by-step explanation :

We know that,

Area of Rectangle = length x breadth

Substituting the values in the above formula, we get,

12(7/4) = 7/12 x breadth

55/4 = 7/12 x breadth

breadth = (55/4) ÷ (7/12)

breadth = 55/4 × 12/7

breadth = 660/28

breadth = 165/7

Therefore, The breadth of the rectangle = 165/7 m.

Now,

We know that,

Perimeter of the rectangle = 2( length + breadth)

Substituting the values in the above formula, we get,

= 2 ( 7/12 + 165/7)

= 2(49 + 1980/84)

= 2(2029/84)

= 2 × 24.15

= 48.3

Therefore, Perimeter of the rectangle = 48.3 m (approx)

Answer 2

$\purple{\underline{\underline{\orange{\boxed{\boxed{\green{\star{\sf Answer:}}}}}}}}$

$\rm\therefore{\red{\underline{\blue{Perimeter \ of \ the \ rectangle : 48.3 m (approx)}}}}$

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$\sf\large\underline\pink{Given:}$

$\rm{The \ area \ of \ rectangle : 12 ( \frac{7}{4} )m^2.}$

$\rm{The \ measurement \ of \ its \ length \ is \ \frac{7}{12 } m. }$

_________________________________________

$\sf\large\underline\blue{To \ Find}$

$\rm{Breadth \ of \ the \ rectangle}$

$\rm{Perimeter \ of \ the \ rectangle}$

_________________________________________

$\purple{\underline{\underline{\pink{\boxed{\boxed{\red{\star{\sf Solution:}}}}}}}}$

$\rm{We \ know \ that, }$

$\rm\boxed{Area \ of \ Rectangle \ = length x breadth }$

$\rm\therefore{12 \frac{7}{4} = \frac{7}{12} \times breadth }$

$\rm\therefore{\frac{55}{4 } \ = \ \frac{7}{12} \times breadth }$

$\rm\therefore{breadth = \frac{55}{4} \div \frac{7}{12}}$

$\rm\therefore{breadth = \frac{55}{4 } \ \times \ \frac{12}{7}}$

$\rm\therefore{breadth = \frac{660}{28}}$

$\rm\therefore{\green{\boxed{ breadth \ = \ \frac{165}{7}} }}$

$\rm{Now, }$

$\rm{\boxed{Perimeter \ of \ the \ rectangle = 2( length + breadth) }}$

$\rm\therefore{perimeter \ = \ 2 \times ( \frac{7}{12} + \frac{165}{7})}$

$\rm\therefore{perimeter \ = \ 2 \times ( 49 + \frac{1980}=84)}$

$\rm\therefore{perimeter \ = \ 2 \times ( \frac{2029}{84})}$

$\rm\therefore{perimeter \ = \ 2 \times 24.15}$

$\rm\therefore{perimeter \ = \ 48.3}$

$\rm\therefore{\red{\underline{\blue{Perimeter \ of \ the \ rectangle : 48.3 m (approx)}}}}$

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$\rm\orange{Hope \ it \ helps \ :))}$