Question

solve A rectangle is of area 56 cm square. it's length is 8 cm .Find its breadth and perimeter​

Answer 1

SOLUTION:-

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➝ Here, the question has given us the area of a rectangle that is 56 cm and length that is 8 cm respectively. Now, the question has asked us to find the perimeter of the given rectangle. First of all we will find the breadth. We simply have to apply the formula of area of rectangle to find the breadth and then after we need to apply the formula of perimeter of rectangle and we will get our answer.

ANSWER:-

☆ Breadth of the rectangle = 7 cm

☆ Perimeter of the rectangle = 30 cm

GIVEN:-

↣ Length of the rectangle = 8 cm

↣ Area of the rectangle = 56 cm²

FIND:-

➱ Breadth of the rectangle = ?

➱ Perimeter of the rectangle = ?

FORMULAE:-

➮ Area of rectangle = (L × B) [To find the breadth]

➮ Perimeter of rectangle = 2(L + B) [To find the perimeter]

Where,

• L = Length
• B = Breadth
• P = Perimeter

SOLVING BY APPLYING THE FORMULA:-

• FINDING THE BREADTH:-
• Let Breadth be B

☞ 56 = 8 × B [Finding Breadth]

☞ Taking 8 to LHS.

☞ 56 / 8 = B

☞ 7 = B

☞ B = 7 cm

Hence, we got the breadth of the rectangle. Breadth of the rectangle is 7 cm.

• FINDING THE PERIMETER:-

☞ Perimeter = 2(8 cm + 7 cm)

☞ Perimeter = 2 × 15 cm

☞ Perimeter = 2 × 15 cm = 30 cm

☞ Perimeter = 30 cm

Hence, we got the perimeter of the rectangle. Perimeter of the rectangle is 30 cm.

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Answer 2

Given :

• Area of Rectangle = 56cm²
• Length of Rectangle = 8cm

To Find :

• Breadth of Rectangle
• Perimeter of Rectangle

Solution :

✰ In this question, Area of Rectangle and Length of Rectangle is given and we have to find the Breadth of Rectangle and Perimeter of Rectangle. For finding the Breadth of the Rectangle we will use Area of Rectangle ( Length × Breadth ) and for Finding the Perimeter we will use Perimeter of Rectangle ( 2 ( Length + Breadth ).

⠀

⟾ Breadth of Rectangle :

• Area of Rectangle = L × B
• 56 = 8 × Breadth
• 56 / 8 = Breadth
• 7cm = Breadth

⠀

⟾ Perimeter of Rectangle :

• Perimeter of Rectangle = 2 (L + B)
• Perimeter of Rectangle = 2 (8 + 7)
• Perimeter of Rectangle = 2 × 15
• Perimeter of Rectangle = 30cm

⠀

Therefore :

• Breadth of Rectangle = 7cm
• Perimeter of Rectangle = 30cm

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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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