Question

The length and breadth of a rectangle are in the ratio 4:3 if its perimeter is 154 cm,find itsarea​

Answer 1

Answer :

• Area of rectangle is 1452cm²

Step-by-step explanation:

GivEn:

• Length of rectangle : breadth of rectangle = 4:3
• Perimeter of rectangle 154cm.

To finD :

• Area of rectangle

Solution:

Let suppose that length of rectangle is 4x and breadth of rectangle is 3x.

Now, Given that perimeter of rectangle is 154cm.

We know that,

Perimeter of rectangle = 2(Length+breadth)

So substitute values in this to find length of rectangle and breadth of rectangle.

Substituting value in formula :

Perimeter of rectangle = 2( length+breadth)

=> 154 = 2(4x + 3x)

=> 154 = 2×7x

=> 154 = 14x

=> x = 154/14

=> x = 11

Hence the length and breadth of rectangle are :-

• Length of rectangle = 4x = 4×11 = 44cm
• Breadth of rectangle = 3x = 3×11 = 33cm

Now, we found that length of rectangle is 44cm and breadth of rectangle is 33cm. Now, we can find it area as :-

Formula using :-

Area of rectangle = Length × breadth

Let us substitute the values in formula.

Substituting value in formula :-

Area of rectangle = Length × Breadth

=> Area of rectangle = 44cm × 33cm

=> Area of rectangle = 1452cm²

So, the area of rectangle is 1452cm²