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Sergio039 [100]

2 years ago

13

The scale drawing of a rectangular office measures 5.3 cm by 8 cm. A scale factor of 72 is used to create the actual office. Wha

t are the dimensions of the actual office?

1 answer:

Musya8 [376]2 years ago

5 0

Each length is 72 times longer so the actual dimensions are 381.6cm by 576 cm

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Answer:

2:1

Step-by-step explanation:

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simplified it is 2:1

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Step-by-step explanation:

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Determine whether a figure with the given vertices is a rectangle using the Distance Formula.

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Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

$A(4, -7), B(4, -2), C(0, -2), D(0, -7)$

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the length of the sides

<u><em>Find the distance AB</em></u>

substitute the values

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

$d=\sqrt{(5)^{2}+(0)^{2}}$

$AB=5\ units$

<u><em>Find the distance BC</em></u>

substitute the values

$d=\sqrt{(-2+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

<u><em>Find the distance CD</em></u>

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-0)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

$CD=5\ units$

<u><em>Find the distance AD</em></u>

substitute the values

$d=\sqrt{(-7+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$AD=4\ units$

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

<u><em>Find the distance AC</em></u>

substitute the values

$d=\sqrt{(-2+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(5)^{2}+(-4)^{2}}$

$AC=\sqrt{41}\ units$

<u><em>Find the distance BD</em></u>

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$BD=\sqrt{41}\ units$

Compare the length of the diagonals

AC=BD

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Diagonals are congruent

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