Question

The perimeter of a rectangle is 260cm if the breadth of a rectangle is 65cm find its length also find the area of rectangle.​

Answer 1

Answer:

Question :-

The perimeter of a rectangle is 260cm. If the breadth of the rectangle is 65cm find its length. Also find the area of the rectangle.

Answer :-

• Length of the rectangle is 65cm and the area of the rectangle is 4225cm².

Given :-

• Perimeter of the rectangle = 260cm.
• Breadth of the rectangle = 65cm.

To find :-

• We have to find the length and the area of the rectangle.

Step-by-step explanation :-

• As per the given data, we know that the known values are - the measure of perimeter and the measure of breadth.
• We are asked to find the length and the area of the rectangle.
• To find the area of the rectangle, firstly we will have to find out it's length.
• So, by using the required formula we will find out the length of the rectangle.

Required formula is as follows :-

${\underline{\boxed{\sf {Perimeter\ of\ rectangle\ =\ 2(l\ +\ b)}}}}$

Here,

• Perimeter of the rectangle = 260cm.
• Breadth of the rectangle = 65cm.

By applying the values, we get :-

$\sf \mapsto {Perimeter\ of\ rectangle\ =\ 2(l\ +\ b)}$

$\sf \mapsto {260cm\ =\ 2(l\ +\ 65cm)}$

$\sf \mapsto {260cm\ =\ 2l\ +\ 130cm}$

$\sf \mapsto {260cm\ -\ 130cm\ =\ 2l}$

$\sf \mapsto {130\ =\ 2l}$

$\sf \mapsto {l\ =\ \cancel \dfrac{130}{2}}$

${\therefore{\underline{\boxed{\frak {Length\ of\ the\ rectangle\ =\ 65cm.}}}}}$

• Now we have the length of the rectangle. So now we will find out the area of rectangle.
• So, it's calculation can be carried out by substituting the given measures in the formula of area of rectangle.

Required formula is as follows :-

${\underline{\boxed{\sf {Area\ of\ rectangle\ =\ length \times breadth}}}}$

Here,

• Length of the rectangle = 65cm.
• Breadth of the rectangle = 65cm.

By applying the values, we get :-

$\sf \mapsto {Area\ of\ rectangle\ =\ length \times breadth}$

$\sf \mapsto {Area\ of\ rectangle\ =\ 65cm \times 65cm}$

${\therefore{\underline{\boxed{\frak {Area\ of\ rectangle\ =\ 4225cm^2.}}}}}$

Answer 2

Given :-

• Perimeter of Rectangle = 260cm
• Breadth of Rectangle = 65cm

To Find :-

• Length and Area of Rectangle

Solution :-

❏ For finding the Length of the Rectangle , we will use the formula of Perimeter of Rectangle as Perimeter of Length.

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 260 = 2 ( Length + 65 )

➞ 260 / 2 = Length + 65

➞ 130 = Length + 65

➞ 130 - 65 = Length

➞ 65cm = Length

Now,

⟾ Area of Rectangle = Length × Breadth

⟾ Area of Rectangle = 65 × 65

⟾ Area of Rectangle = 4225cm²

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Therefore :

• Length of Rectangle = 65cm
• Area of Rectangle = 4225cm²

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★ Additional Info :

Formulas Related to Rectangle :

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

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