Question

Find the length of rectangle whose perimeter is 36m and breadth is 15m. Determine the area of

rectangle. ​

Answer 1

Answer: 45m²

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Answer 2

◇ Given ◇

• Perimeter and Breadth of Rectangle.

◇ To find ◇

• The length of the Rectangle and Area of teh Recatngle.

◇ Solution ◇

$\sf\pink{⟹ Perimeter = 36m}$

$\sf\orange{⟹ Breadth = 15m}$

$\sf\blue{⟹ Length = x}$

${\fcolorbox{blue}{black}{\purple{\:\:\:\:\:\:\:\:\:\:\:\:As \ we \ know \:\:\:\:\:\:\:\:\:\:\:}}}$

${\fcolorbox{blue}{black}{\pink{\:\:\:\:\:\:\:\:Perimeter \ of \ Recatngle \ = 2 × (Length + Breadth) \:\:\:\:\:\:\:\:}}}$

In which,

• I = length
• B = breadth

We have to find Length

Perimeter = 36m , Breadth = 15m

Perimeter = 2  × (Length + Breadth)

36m = 2  × (15m + x)

$\sf\blue{\dfrac{36}{2}}$ =  $\sf\green{18}$ $\sf\green{- 15m = 3m}$

Verification:-

Perimeter = 2  × (Length + Breadth)

Perimeter = 2  × (15m + 3m)

Perimeter = 2  × 18m

Perimeter = 36m

∴ Hence, verified!

Now, we have to find the Area:-

As we know

${\fcolorbox{blue}{black}{\purple{\:\:\:\:\:\:\:\:Area\ of \ Recatngle \ = (Length × Breadth) \:\:\:\:\:\:\:\:}}}$

⟹  Area of Rectangle = (3m × 15m)

⟹  Area of Rectangle = 45m

∴ Hence proved! that Length is 3m and Area is $\sf\red{45m^{2}}$

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