Question

find the perimeter of a rectangle if its area is 950 cm² and breadth is 19cm​

Answer 1

Solution:-

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⬤ Here, the question has given us the area of the rectangle that is 950 cm² and the breath of the rectangle that is 19cm respectively. Now, us to find the perimeter of the rectangle. So, to find the perimeter we first need to find the length of the rectangle and after finding the length we can easily find out the perimeter by applying the formula.

ANSWER:-

• Length of the rectangle is 50 cm.
• Perimeter of the rectangle is 138 cm.

GIVEN:-

➝ Area of the rectangle = 950 cm²

➝ Breadth of the rectangle = 19 cm

TO FIND:-

➢ Length of the rectangle = ?

➢ Perimeter of the rectangle = ?

FORMULA:-

➳ Area of rectangle = Length × Breadth

➳ Perimeter of rectangle = 2(Length + Breadth)

SOLVING BY APPLYING THE FORMULA:-

➝ To find the perimeter of the rectangle, first we need to find the length of the rectangle.

⇒ Area = Length × Breadth

⇒ Let length be L.

⇒ 950 = L × 19

⇒ Taking L to LHS and 950 to RHS.

⇒ L = 950 / 19

⇒ L = 950 / 19 = 50

⇒ Length = 50 cm

Hence, length of the rectangle is 50 cm.

➝To check:-

⇒ Area = L × B

⇒ Area = 50 cm × 19 cm

⇒ Area = 50 cm × 19 cm = 950 cm²

⇒ Area = 950 cm²

Hence, checked ✓.

➝ Now, finding the Perimeter:-

⇒ Perimeter of rectangle = 2(L + B)

⇒ Perimeter = 2(50 + 19)cm

⇒ Perimeter = 2(69)cm

⇒ Perimeter = 2 × 69 cm

⇒ Perimeter = 2 × 69 cm = 138 cm

⇒ Perimeter = 138 cm

Hence, the perimeter of the rectangle is 138 cm.

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Answer 2

Answer:

126 cm

Step-by-step explanation:

Perimeter of a rectangle = 2 (1 + b )

Area of rectangle = |x b

Given that, Area = 650 cm? and Breadth = =

13 cm

> Length x Breadth = Area

> Length = Area / Breadth

→ Length = 650 / 13 = 50 cm

Hence Length is 50 cm.

Perimeter = 2 (1 + b )

» Perimeter = 2 ( 50 + 13 )

Perimeter = 2 ( 63 )

Perimeter = 126 cm

This is the required answer.