Question

length and breadth of rectangle are in ratio 5:4.if it's perimeter is 180m find the sides of rectangle ​

Answer 1

Step-by-step explanation:

this is the ans......

thanks........

Answer 2

$\bigstar \underline{\underline{\sf Given:-}}$

• Length and breadth of rectangle are in ratio 5:4.
• Perimeter =180m.

$\bigstar \underline{\underline{\sf To\ find:-}}$

• Sides of the rectangle.

$\bigstar \underline{\underline{\sf Solution:-}}$

As the given ratio is 5:4 ,

Let,

=>Length = 5x

=>Breadth=4x

We know:-

✦Perimeter of rectangle = 2(l+b)

According to question,

$:\implies \sf 2(l+b)=180\\\\:\implies \sf 2(5x+4x)=180\\\\:\implies \sf 2(9x)=180\\\\:\implies \sf 9x=\frac{180}{2} \\\\:\implies \sf 9x=90\\\\:\implies \sf x=\frac{90}{9} \\\\:\implies \sf \bold{x=10}$

Now,

Length = 5x

=> 5(10) =50cm.

Breadth =4x

=> 4(10)=40cm.

Therefore,the sides of rectangle are 50cm&40cm.

---------------------

✪ Know More:-

➫Area of rectangle = length×breadth

➫Length of diagonal of a rectangle = √a²+b²

➫In a rectangle,

• All the angles are equal.
• Sum of all angles =360°

• Opposite sides are equal

➫Perimeter of a square = 4s.

➫ Area of square =s²

_______________