Question

if the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Given:

✰ Length of rectangle is thrice of its breadth.

✰ Perimeter of a rectangle = 32 cm

To find:

✠ Area of a rectangle.

Solution:

Let's understand the concept first! First we will assume the breadth of a rectangle as x, then we know length of a rectangle is thrice its breadth which means 3 times of breadth i.e, 3 × x = 3x. After that we are provided with the perimeter of rectangle, using formula of perimeter of rectangle, we will find the value of x, that is the breadth of the rectangle. Then, we will substitute the value of x to find the length of the rectangle. At last, we will use formula of area of rectangle to find its area.

Let the breadth of rectangle be x

then, the length of rectangle = 3x

✭ Perimeter of rectangle = 2(l + b) ✭

Where,

• l is the length of a rectangle.
• b is the breadth of a rectangle.

Putting the values in the formula, we have:

➛ 32 = 2( 3x + x )

➛ 32 = 2 × 4x

➛ 4x = 32/2

➛ 4x = 16

➛ x = 16/4

➛ x = 4

⟼ Breadth of a rectangle = 4 cm

⟼ Length of a rectangle = 3 × 4

⟼ Length of a rectangle = 12 cm

Now,

✭ Area of a rectangle = l × b ✭

Where,

l is the length of a rectangle.

b is the breadth of a rectangle.

Putting the values in the formula, we have:

➤ Area of a rectangle = 4 × 12

➤ Area of a rectangle = 48 cm²

∴ The area of a rectangle = 48 cm²

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