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Kazeer [188]
3 years ago
14

The perimeter of a rectangle is 108cm. The ration of its length to its width is 7:2 what is the area of the rectangle in cm2?

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

504 cm²

Step-by-step explanation:

Let the length and the width of the rectangle be L cm and W cm respectively.

Perimeter= 2(L +W)

2(L +W)= 108

L +W= 108 ÷2

L +W= 54

L= 54 -W -----(1)

\frac{L}{W}  =  \frac{7}{2}

<em>Cross multiply:</em>

2L= 7W -----(2)

Substitute (1) into (2):

2(54 -W)= 7W

<em>Expand:</em>

108 -2W= 7W

<em>+2W on both sides:</em>

9W= 108

<em>Divide both sides by 9:</em>

W= 108 ÷9

W= 12

<em>Substitute W= 12 into (1):</em>

L= 54 -12

L= 42

Area of rectangle

= length ×width

= LW

= 42(12)

= 504 cm²

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Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

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0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

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0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

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x = 14

Quarters = 20

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2 years ago
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The fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The given parameters:

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  • <em>Cost of first 0.2 mile = $0.75</em>
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The fare without tip for the Metro Taxi is calculated as follows;

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The total cost is calculated as follows;

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Thus, the fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The complete question is below:

Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.

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Learn more about cost per miles here: brainly.com/question/2513267

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