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Scorpion4ik [409]
2 years ago
6

Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k

> 0.
Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.
Write a paragraph proof to show that the area of Rectangle 2 is times the area of Rectangle 1.
Mathematics
1 answer:
andre [41]2 years ago
3 0

Answer:

<u><em>Perimeter of rectangle2 </em></u> =  k × <u>perimeter of rectangle 1</u>

<u><em>area of rectangle 2 </em></u>  =  k² × <u>area of rectangle 1</u>

Step-by-step explanation:

• <u><em>rectangle 1</em></u> :

Length x

Width y

perimeter1  =  2×(x + y)

area1  = x × y

……………………

•• <u><em>rectangle 2</em></u> :

Length kx

Width ky

Perimeter2  =  2×(Kx + ky)

area2  = kx × ky

……………………………………………

therefore,

<u><em>Perimeter of rectangle 2 </em></u>

= 2×(Kx + ky)

= 2×k×(x + y)

= k×2×(x + y)

= k × perimeter of rectangle 1

On the other hand,

<u><em>area of rectangle 2 </em></u>

= Kx × ky

= k×k×(x × y)

= k²×(x × y)

= k² × area of rectangle 1

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4 years ago
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kondaur [170]

Complete question is;

Andrea is given ABC and told that a² + b² = c². She draws right triangle RTS with legs measuring a and b and hypotenuse measuring 2. Which best describes what Andrea should

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Answer:

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Step-by-step explanation:

In this question, we are told that the given sides of the triangle are a, b and c. Now, Andrea is able to draw the two sides of the right triangle with sides = a and b and the third, hypotenuse equal to 2. Since the length of the hypotenuse = 2, then we have;

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8 0
3 years ago
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