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Pavel [41]
3 years ago
9

PLZ HELP,, WILL BE MUCH APPRECIATED!

Mathematics
1 answer:
docker41 [41]3 years ago
7 0

Answer:

178cm

Step-by-step explanation:

x=180

y=160

0.4(x+y)+42 =

0.4(180 + 160) +42 =

0.4(340)+42=

136+42=

178cm

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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
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<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

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<u><em>Step 3</em></u><em> :</em>

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<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

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<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

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The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

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                                                = 21 - 5

                                    length = 16 meters

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