Question

the length of a rectangle is three times of its breadth. if the area of the rectangle is 432 cm^2 then find its perimeter



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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Perimeter of rectangle is 96 cm.

Explanation:

It is given that the length of rectangle is three times of its breadth. The area of rectangle is 432 cm².

We have to find out its perimeter.

Let breadth of rectangle be y

Atq length of rectangle is three times of its breadth. So, breadth of rectangle will be 3y

Now, firstly we will find length and breadth of rectangle by using formula of area of rectangle. As we know that;

Area of rectangle = Length × Breadth

Putting all values we get,

➻ 432 = 3y × y

➻ 432 = 3y²

➻ 432/3 = y²

➻ 144 = y²

➻ y² = 144

➻ y = √(144)

➻ y = √(12 × 12)

➻ y = 12

Hence, breadth of rectangle is 12 cm.

Finding length of rectangle,

➻ Length = 3y

➻ Length = 3 × y

Put y = 12 we get,

➻ Length = 3 × 12

➻ Length = 36 cm

Hence, length of rectangle is 36 cm.

Now, we have all required things so let's calculate the perimeter of rectangle. As we know that;

Perimeter of rectangle = 2(Length + Breadth)

Putting all values we get,

➻ Perimeter = 2(36 + 12)

➻ Perimeter 2(48)

➻ Perimeter = 2 × 48

➻ Perimeter = 96 cm

Hence, perimeter of rectangle is 96 cm.

Know more:

Perimeter of any figure is calculated by sum of its all sides.

Perimeter of square = 4 × side

Area of square = (side)²

Perimeter of equilateral ∆ = 3 × side

Area of equilateral ∆ = √3/4 (side)²

Perimeter of rhombus = 4 × side

Area of rhombus = ½ × d₁ × d₂

Perimeter of circle = 2πr

Area of circle = πr²

Perimeter of rectangle = 2(l + b)

Area of rectangle = l × b

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