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stich3 [128]
3 years ago
8

A rectangle is 5 cm wider than twice its length. If the perimeter of the rectangle is 70 cm, then what is the area?

Mathematics
2 answers:
kifflom [539]3 years ago
6 0

Step-by-step explanation:

The dimensions of the rectangle are two unknowns: The length "l" and the width "w"

The perimeter of a rectangle is found as P = 2*l + 2*w

We also know that the length is 5cm more than twice the width. l = 2*w + 5

These two equations gives us a system of linear equations.

P = 2*l + 2*w

l = 2*w + 5

We can use substitution to replace the "l" in the first equation with 2*w + 5

P = 2*(2*w + 5) + 2*w

P = 4*w + 10 + 2*w

P = 6*w + 10

we know the perimeter is 70

70 = 6* w + 10

subtract 10 from both sides

60 = 6* w

w = 10

Now that we know the width, we can find the length by substituting 10 for "w" in the second equation.

l = 2* 10 + 5

l = 20 +5

l = 25

the dimentions of the rectangle are 25cm x 10 cm

HACTEHA [7]3 years ago
6 0

Answer:

25

Step-by-step explanation:

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Tema [17]

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

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5 0
3 years ago
4 question in one 65 points
jeka94

Q6.

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

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<h3>Answer: y = 3x + 4</h3>

Q7.

2x + 4y = 4     |subtract 2x from both sides

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y = -0.5x + 1

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<h3>Answer: The second graph.</h3>

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The point-slope form:

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<h3>Answer: The first equation.</h3>

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It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.

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Hey!~

The answer is 25/100.
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Hope this helps and have a great day!

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7 0
3 years ago
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