Question

THE SIDES OF A RECTANGLE ARE IN THE RATIO 5:7. IF IT'S PERIMETER IS 204 CM, FIND THE MEASURE OF THE SIDES
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Answer 1

Step-by-step explanation:

Let the length of the rectangle be 5x and the breadth be 7x.

Perimeter = 204 cm

According to the question,

$2(l + b) = 204 \: cm$

$2(5x + 7x) = 204$

$12x = \frac{204}{2}$

$12x = 102$

$x = \frac{102}{12}$

$x = 8.5$

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Answer 2

Answer :

• Length = 5x = 5(8.5) = 42.5cm
• Breadth = 7x = 7(8.5) = 59.5cm

Given :

• The sides of a rectangle are in the ratio 5 : 7 .
• Perimeter = 204

To find :

• Measure of the sides

Solution :

• Let the length be 5x
• Let the breadth be 7x

As we know that,

• Perimeter of rectangle = 2(l + b)

Perimeter is 204cm

》Perimeter of rectangle = 2(length + breadth)

》2(l + b) = 204

》2(5x + 7x) = 204

》2(12x) = 204

》24x = 204

》x = 204/24

》x = 8.5cm

Hence ,

• Length = 5x = 5(8.5) = 42.5cm
• Breadth = 7x = 7(8.5) = 59.5cm

More Explanation :

• Perimeter of rectangle = 2(length + breadth)
• Area of rectangle = length × breadth
• Diagonal = √l² + b²