58.5k views
20 votes
What is the length and area of a rectangle whose perimeter is 24 cm and the breadth is 4 cm?​

User Tim Malone
by
4.8k points

1 Answer

7 votes

Question:-


\\

What is the length and area of a rectangle whose perimeter is 24 cm and the breadth is 4 cm?


\\

Given:-


\\

  • Breadth of the rectangle = 4 cm


\\

  • Perimeter of the rectangle = 24 cm


\\

To find:-


\\

  • Length of the rectangle


\\

  • Area of the Rectangle


\\

Solution:


\\

❁We know:-

Perimeter of rectangle =2 ( Length + Breadth )


\\

By using this formula we can find length of rectangle


\\

So:-

↣ Perimeter of rectangle =2 ( Length + Breadth )


\\

↣ 24 =2 ( Length + 4 )


\\

↣24 = 2(Length) + 2(4)


\\

↣24 = 2(Length) + 2 × 4


\\

↣24 = 2(Length) + 8


\\

↣24 - 8 = 2(Length)


\\

↣ 16 = 2(Length)


\\

↣2(Length) = 16


\\

↣ Length = 16/2


\\

↣ Length = 8 cm


\\

Now Finally Let's find area :-


\\

❁We know:-

Area of rectangle = Length × Breadth


\\

So:-

⇢Area of rectangle = Length × Breadth


\\

⇢Area of rectangle = 4 × 8


\\

⇢Area of rectangle = 32 cm²

User Michael Meister
by
3.8k points