Question

1) length of a rectangle exceeds its breath by 4 meters. if the perimeter of the rectangle is 84 metres, find its length and breadth.
answer fast​

Answer 1

$\huge{\bold{\underline{\underline{Question:-}}}}$

Length of a rectangle exceeds its breath by 4 meters. if the perimeter of the rectangle is 84 metres, find its length and breadth.

$\huge{\bold{\underline{\underline{Solution:-}}}}$

Let's assume that breadth of the Rectangle be = 'x'

and Length = 'x+4'

Perimeter of rectangle = 84cm

◈ Formula :-

$\large{\purple{\boxed{\red{\underline{\green{Perimeter\:=\:2(L+B)}}}}}}$

Substituting the values :-

=> 84 = 2(x+4+x)

=> 84 = 2(2x+4)

=> 84 = 4x+8

=> 84 - 8 = 4x

=> 76 = 4x

=> x = $\frac{76}{4}$

=> $\large{\red{\underline{\purple{\boxed{\color{lime}{x\:=\:19}}}}}}$

✯ Breadth :- x = 19cm

✯ Length :- x + 4 = 19 + 4 = 23cm

☯︎ Verification :-

Length = 23cm

Breadth = 19cm

Perimeter = 2(L+B)

= 2(23+19)

= 46+38

= 84cm

➙ More to know :-

• Rectangle is a 2D shape in geometry.
• it's two sides meet at right angle .
• Angles in a rectangle are = 90°.
• The opposite sides of a rectangle are parallel and equal in length.