Question

The sides of a rectangle are in the ratio 5 : 4. If its perimeter is 72 cm then find the length?

Answer 1

Answer:

LET THE RATIO BE X

SO 5:4=5X,4X

PERIMETER OF RECTANGLE = 2(L+B)

2(5X+4X)= 72

18X =72

X=4

LENGTH = 5X = 5 MUTLIPLY 4= 20IS CORRECT ANSWER

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Answer 2

☆ Solution ☆

Given :-

• The sides of a rectangle are in the ratio 5 : 4.

• The perimeter of the rectangle is 72 cm.

To Find :-

• The length of the rectangle.

Step-by-Step-Explaination :-

Let,

• The length of the rectangle be 5x

• The breadth of the rectangle be 4x

Now,

As we know that :-

Perimeter of the rectangle = 2 ( length + breadth )

Where,

• The length of the rectangle = 5x

• The breadth of the rectangle = 4x

• The perimeter of the rectangle = 72 cm

Putting the respective value,

2 ( 5x + 4x ) = 72

2 ( 9x ) = 72

9x = 72/2

9x = 36

x = 36/9

x = 4

Thus,

The value of x is 4 cm

Therefore,

• The length of the rectangle = 5x = 5 × 4 = 20 cm

• The breadth of the rectangle = 4x = 4 × 4 = 16 cm

Hence,

The length of the rectangle is 20 cm .