Question

i need it very urgent​

Answer 1

Answer:

Given :-

• The length of a rectangle is two times its width.
• The perimeter of the rectangle is 180 cm.

To Find :-

• What is the dimensions of the rectangle.

Formula Used :-

$\bigstar$ Perimeter Of Rectangle Formula :

$\footnotesize\mapsto \sf\boxed{\bold{\pink{Perimeter_{( Rectangle)} =\: Length \times Width}}}$

Solution :-

Let,

➲ Width Of Rectangle = x cm

➲ Length Of Rectangle = 2x cm

According to the question by using the formula we get,

$\implies \sf 2(2x + x) =\: 180$

$\implies \sf 4x + 2x =\: 180$

$\implies \sf 6x =\: 180$

$\implies \sf x =\: \dfrac{\cancel{180}}{\cancel{6}}$

$\implies \sf\bold{\purple{x =\: 30}}$

Hence, the required dimensions of the rectangle is :

✭ Width Of Rectangle :

$\leadsto \sf Width_{(Rectangle)} =\: x\: cm$

$\leadsto \sf\bold{\red{Width_{(Rectangle)} =\: 30\: cm}}$

✭ Length Of Rectangle :

$\leadsto \sf Length_{(Rectangle)} =\: 2x\: cm$

$\leadsto \sf Length_{(Rectangle)} =\: 2 \times 30\: cm$

$\leadsto \sf\bold{\red{Length_{(Rectangle)} =\: 60\: cm}}$

$\therefore$ The length and width of a rectangle is 60 cm and 30 cm respectively.