Question

Question :-
The perimeter of rectangle is 168 metres if the length of 46 metres then its area is

Answer 1

Answer:

A=1748m²

l Length

46

m

P Perimeter

168

m

Answer 2

Given:

• Perimeter = 168 metres
• Length = 46 metres

To Find

• Area of the Rectangle

Solution:

Let the Breadth of Rectangle be x

$\\ \circ \: {\underline{\boxed{\tt{ Perimeter_{(Rectangle)} = 2(l + b) }}}}$

Where

• l = Length
• b = Breadth

$\colon\implies {\tt{ Perimeter_{(Rectangle)} = 2(46 + x) }} \\ \\ \\ \colon\implies {\tt{ 168 = 92 + 2x }} \\ \\ \\ \colon\implies {\tt{ 168 - 92 = 2x }} \\ \\ \\ \colon\implies {\tt{ 76 = 2x }} \\ \\ \\ \colon\implies {\tt{ x = \cancel{ \dfrac{76}{2} } }} \\ \\ \\ \colon\implies {\boxed{\tt{ x = 38 \ m }}}$

The Breadth of Rectangle is 38 m.

$\\ \circ \: {\underline{\boxed{\tt{ Area_{(Rectangle)} = Length_{(l)} \times Breadth_{(b)} }}}}$

$\colon\implies {\tt{ Area_{(Rectangle)} = 46 \times 38 }} \\ \\ \\ \colon\implies {\underline{\tt\purple{ Area_{(Rectangle)} = 1748 \ metres^2 }}}$

Hence,

The Area of the Rectangle is 1748 m² .