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3 years ago

Help!! You have to find the perimeter of this shape.

Mathematics

1 answer:

lesantik [10]3 years ago

5 0

Answer:

J 56

Step-by-step explanation:

The area of the figure is the large square x^2 minus the small square y^2

The area is x^2 -y^2 = 52

Since x and y are integers the of the squares must be 52

x^2 = y^2 +52

We know that it must be fairly large

Let y = 12

x^2 = 12^2 +52

x^2 = 144+52

x^2 = 196

x=14

The perimeter is the sum of the 4 sides

P = x+x + (x-y) +y+y + (x-y)

Combining like terms

P = 4x

P = 4(14)

P = 56

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Answer:

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3 years ago

Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta

MrMuchimi

Answer:

The equation that best models this situation is :

b. $\frac{x}{20}=\frac{x+400}{25}$

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be = $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

So, the length of the trip of Train Z will be = $(x+400)$ miles

Speed of Train Z can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x+400}{25}\ miles/h$

Since the speeds are same, so the equation to find $x$ can be given as:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

Solving for $x$

Multiplying both sides by 100 to remove fractions.

⇒ $100\times \frac{x}{20}=100\times \frac{x+400}{25}$

⇒ $5x=4(x+400)$

Using distribution.

⇒ $5x=4x+1600$

Subtracting both sides by $4x$

⇒ $5x-4x=4x-4x+1600$

⇒ $x=1600$

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = $1600+400$ = 2,000 miles

3 0

3 years ago