Question

the breath of rectangular is equal to side of squar whose perimeter is 24if the perimeter of rectangle is 28 then what will be it's length​

Answer 1

Answer:

8 unit

Step-by-step explanation:

Let the side-length of the square be 'x'.

 perimeter of square = 4side

                              24 = 4x

                                6 = x

As given, breadth of  rectangle is equal to side of square whose perimeter is 24.   Therefore, breadth of the rectangle is x = 6 unit.

Perimeter of rectangle=2(length+breadth)

                                 28 = 2(length + 6)

                                   14 = length + 6

                              14 - 6 = length

                                     8 = length

Length of the rectangle is 8 unit

Answer 2

➤ Given :-

Petimetre of a square :- 24 cm

Perimeter of a rectangle :- 28 cm

Breadth of rectangle = Side of square

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➤ To Find :-

The length of the rectangle.

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★ How to do :-

Here, we are given with the perimeter of a square and the perimeter of a rectangle. We are also given that the breadth of the rectangle and the side of the square are same. We are asked to find the length of this rectangle. So, first we should find the side of the square by using the formula given below. The the breadth is same as side of square. So, we can easily find the length of the rectangle by having it's perimeter and the breadth. So, let's solve!!

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➤ Solution :-

Side of a square :-

${\tt \leadsto \underline{\boxed{\tt Perimeter = 4 \times Side}}}$

Substitute the given values.

${\tt \leadsto 24 = 4 \times Side}$

Shift the number 4 from RHS to LHS, changing it's sign.

${\tt \leadsto Side = \dfrac{24}{4}}$

Divide the given fraction to get the side value.

${\tt \leadsto \underline{Side = 6 \: \: cm}}$

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We know that the side of the square is same as the breadth of the rectangle. So, the breadth measures 6 cm.

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Now, let's find the length of the rectangle.

Length of the rectangle :-

${\tt \leadsto \underline{\boxed{\tt Perimeter = 2 \: (Length + Breadth)}}}$

Substitute the given values.

${\tt \leadsto 28 = 2 \: (Length + 6)}$

Multiply the number 2 for both values in bracket.

${\tt \leadsto 28 = 2x + 12}$

Shift the number 28 from LHS to RHS, changing it's sign.

${\tt \leadsto 2x = 28 - 12}$

Subtract to find the value of 2x.

${\tt \leadsto 2x = 16}$

Shift the number 2 from LHS to RHS, changing it's sign.

${\tt \leadsto x = \dfrac{16}{2}}$

Divide the given fraction to get the value of length.

${\tt \leadsto x = \cancel \dfrac{16}{2} = \pink{\underline{\boxed{\tt 8 \: \: cm}}}}$

$\Huge\therefore$ The length of the rectangle is 8 cm.