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stich3 [128]
2 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]2 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]2 years ago
6 0

Answer:

25

Step-by-step explanation:

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allochka39001 [22]

Answer:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

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Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.

4 0
2 years ago
Please tell me what the area formula and circumference formula is for a circle?
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The formula for the Area of a circle is Pi•R^2, or 3.14•R•R
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3 years ago
Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 864 po
andreev551 [17]

Answer:

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Step-by-step explanation:

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