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Luda [366]
3 years ago
8

The sides of a rectangle are in the ratio 2:5. The perimeter of the rectangle is 70 cm. What is the width of the rectangle?

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Width = 10cm

Length = 25cm

<u>Explanation: </u>

Given, width:length = 2:5

Let width = 2x ,

So, length = 5x

Perimeter of rectangle = 2x(length + width)

According to the question,

70cm = 2X(5x + 2x)\\70cm = 2X(7x)\\35cm = 7x\\x = 5cm

Hence,

Width = 10cm

Length = 25cm

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let L = length and let W = width.

Use the equations 2L + 2W = 2750

and L = 5W + 15

Then do the steps as follows -

1. Plug the equation for what L equals into the first equation

2(5W+15) + 2W = 2750

2. Then distribute the 2

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3. Then add like terms

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6. Then plug that into the second equation

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