Question

Lenght of a rectangle is 6m is than twice its breadth. the primeter of the rectangle is 240m.​

Answer 1

Answer:

$\large{\underline{\boxed{\sf Area \: of \: rectangle = 3116 \: m^2 }}}$

Step-by-step explanation:

Let the breadth of rectangle be x m. Then, it's length = (2x + 6) m.

Given that -

Perimeter of rectangle = 240 m

⇒ 2 (l + b) = 240

⇒ 2 (x + 2x + 6) = 240

⇒ 3x + 6 = $\sf \dfrac{240}{2}$

⇒ 3x + 6 = 120

⇒ 3x = 120 - 6

⇒ 3x = 114

⇒ x = $\sf \dfrac{114}{3}$

⇒ x = 38

Thus, length of rectangle = 2x + 6

                                          = 2 * 38 + 6

                                          = 76 + 6

                                          = 82 m

Breadth of rectangle = x

                                  = 38 m

Area of rectangle = Length * Breadth

                             = (82 * 38) m²

                             = 3116 m²

Hence, the area of rectangle is 3116 m²

Answer 2

Correct Question: Length of a rectangle is 6m twice than its Breadth. The Perimeter of the rectangle is 240m, Find it's area.

Answer: 3116 m²

Step by step explanation:

Let the breadth of rectangle be x metres, length = (2x + 6) metres.

Perimeter= 240 metres

We know that,

Perimeter of rectangle = 2 ( L + B )

240 = 2 ( x + 2x + 6 )

240 = 2 ( 3x + 6 )

120 = 3x + 6

114 = 3x

x = 38 metres

Thus,

Length = 2x + 6 = 2 (38) + 6 = 82

Breadth = x = 38

Now,

Area of rectangle = Length × Breadth

= 82 × 38

= 3116 m²

Thus, Area of the rectangle is 3116 m².