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Likurg_2 [28]
3 years ago
15

A rectangle has an area of 8 square centimmetres and a perimeter of 12 cm. What are the width and breath?

Mathematics
1 answer:
vlada-n [284]3 years ago
8 0
Let the Length be L and the Width be W

The area is 8 cm²
LW = 8

The perimeter is 12
2(L + W) = 12
L + W = 6

Solve L and W:
LW = 8 --------------- (1)
L + W = 6------------ (2)

Equation (2):
L + W = 6
L = 6 - W -------------- Sub into (1)
(6 - W) W = 8
6W - W² = 8
W² - 6W + 8 =0 
(W -2 )(W - 4) = 0
W = 2 or 4

When W =2, L = 6 - 2 = 4
When W = 4, L = 6 - 4 = 2

Answer: The Width is 2 cm and the Length is 4 cm
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Step-by-step explanation:

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What is the value of x if the perimeter of both shapes is the same?
AveGali [126]

The value of x is: \frac{4}{3}

<u><em>Recall</em></u>:

Perimeter of a shape is the sum of all its sides

<em>Thus</em>:

Perimeter of the triangle = x + x +x+ 4 = 3x + 4

Perimeter of the rectangle = 2(2x) + 2(x) = 4x + 2x = 6x

We are told that the perimeter of both shapes are equal. Set both perimeters equal and solve for x.

3x + 4 = 6x

<em>Add like terms</em>

<em />4 = 6x - 3x\\4 = 3x

<em>Divide both sides by 3</em>

<em />\frac{4}{3} = x\\x = \frac{4}{3}

The value of x = \frac{4}{3}

Learn more here:

brainly.com/question/20562416

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Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.
Vladimir79 [104]

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They do not run at the same rate because Jada ran at a rate of .150km per min, while Andre ran at .133333 km per minute.

Step-by-step explanation:

Andre ran : 2km/15min = .133333km per min

Jada ran: 3km/20min=.150km per minute

.150>.1333, so Jada ran at a higher rate of kilometers per minute.

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Your Assignment
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Answer:

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Step-by-step explanation:

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