Question

The area of rectangle is 80 sq.cm. If its length is 10 cm ,what is its perimeter? *​

Answer 1

Answer:

AREA OF RECTANGLE = L × B = 80cm² ( GIVEN )

LENGTH = 10cm ( GIVEN )

BREADTH = AREA ÷ LENGTH

= 80 ÷ 10

= 8cm

NOW ,

PERIMETER OF RECTANGLE = 2 ( L + B )

= 2 ( 10 + 8 )

= 2 ( 18 )

= 36cm

SO THE PERIMETER OF RECTANGLE IS 36cm

Answer 2

ANSWER :

• ❖ If the area of rectangle is 80 sq.cm and its length is 10 cm; then its perimeter is 36 cm.

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SOLUTION :

❒ Given :-

• Area of the rectangle = 80 sq. cm

• Length of the rectangle = 10 cm

❒ To Find :-

• Perimeter of the rectangle = ?

❒ Required Formulas :-

• ★ Breadth of a rectangle = $\sf{\dfrac{Area}{Length}}$

• ★ Perimeter of a rectangle = 2 ( Length + Breadth )

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❒ Calculation :-

We have,

• Length = 10 cm

• Area = 80 sq. cm

Using the formula,

• ★ Breadth of the rectangle = $\sf{\dfrac{Area}{Length}}$

➜ Breadth of the rectangle = $\sf{\dfrac{80 \: \: sq. \: cm}{10 \: \: cm}}$

➜ Breadth of the rectangle = 8 cm

Now,

• Length = 10 cm

• Breadth = 8 cm

Using the formula of Perimeter of a rectangle,

• ★ Perimeter of the rectangle = 2 ( Length + Breadth )

➨ Perimeter of the rectangle = { 2 ( 10 + 8 ) } cm

➨ Perimeter of the rectangle = ( 2 × 18 ) cm

∴ Perimeter of the rectangle = 36 cm ✪

• Hence, the Perimeter of the rectangle is 36 cm.

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KNOW MORE :

➤ Rectangle :-

• ✎ A rectangle is a plane figure which has four sides and four angles. Each of the four angles are right angles, i.e, 90°. Again, the opposite sides of a rectangle are of equal length and parallel.

• ✎ A rectangle is or a quadrilateral which opposite sides are equal and parallel to each other and each of the four angles is a right angle.

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➤ Related Formulas :-

• ✎ Area of a rectangle = Length × Breadth

• ✎ Perimeter of a rectangle = 2 (Length + Breadth)

• ✎ Length = $\sf{\dfrac{Area}{Breadth}}$ [ When Area and Breadth of a rectangle is given ]

• ✎ Breadth = $\sf{\dfrac{Area}{Length}}$ [ When Area and Length of a rectangle is given ]

• ✎ Length = $\sf{\dfrac{Perimeter}{2} - Breadth}$ [ When Perimeter and Breadth of a rectangle is given ]

• ✎ Breadth = $\sf{\dfrac{Perimeter}{2} - Length}$ [ When Perimeter and Length of a rectangle is given ]

• ✎ Diagonal of a rectangle = √{(Length)² + (Breadth)²}