3 years ago

20

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

12 in

Step-by-step explanation:

the scale factor of the enlarged frame is found by comparing the widths

original width : enlarged width = 2 : 6 = 1 : 3

That is 3 times the original width , then

enlarged height = 4 × 3 = 12 in

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Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

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$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

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$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

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$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

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Perimeter of rectangle = 2 (Length + Breadth)

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$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

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$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

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