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Rainbow [258]
3 years ago
13

What is the area of the figure?

Mathematics
1 answer:
hammer [34]3 years ago
7 0
The area of the figure is 9
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can you explain your answer more


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Select option that continues pattern? 3,-6,12,4,20
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
3 years ago
I need help please I would really appreciate it
Alchen [17]

Answer:

Your answer to the fig. would be 14cm^2.

Adding area of both rectangles,

(8+6) cm^2

= 14cm^2

Hope it helps!!

6 0
3 years ago
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Nicki school day last 7 hours 20 minutes how many minutes does Nicki school day last explain how you found your answer
VLD [36.1K]

7 hours X 60 minutes = 420 minutes

420 minutes + 20 minutes = 440 minutes

7 0
3 years ago
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