Question

the perimeter of a rectangle is is 72 CM the length is three times the with find the area of the rectangular​

Answer 1

Answer:

243 please mark it as brainliest and thank even follow if possible

Answer 2

Correct Question:

The perimeter of a rectangle is is 72 cm. The length is three times the width. Find the area of the rectangle.

Given:

A rectangle with

• Perimeter = 72 cm.
• Width = x
• Length = 3x

To Find:

The area of rectangle.

Solution:

• Finding Length and Breadth

Using the formula,

⇒ Perimeter of rectangle = 2(l + b)

Substitute the values,

⇒ 72 cm = 2(3x + x)

Solve the brackets,

⇒ 72 cm = 2(4x)

Remove the brackets,

⇒ 72 cm = 8x

Take 8 to LHS,

⇒ $\dfrac{72}{8}$ = x

Divide 72 by 8,

⇒ 9 = x

Now,

• Width = x = 9 cm
• Length = 3x = 3(9) = 27 cm

• Finding Area

Using the formula,

⇒ Area of the rectangle = length × width

Substitute the values,

⇒ Area = 27 cm × 9 cm

Multiply 27 and 9,

⇒ Area = 243 cm²

∴ Therefore, the area of rectangle is 243 cm².