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4 years ago

(( I will give 25 points and brainy for right answers (Please answer all!!) CORRECTLY~!!!))

Mathematics

1 answer:

Alborosie4 years ago

8 0

1. D. Concave Hexagon

2.
(n - 2)180 = 2160
n - 2 = 12
n = 14

C. 14

3.
(n - 2)180 = 3060
n - 2 = 17
n = 19

D. 19

4.
[(n - 2)180]/n =

= [(15 - 2)180]/15

= 13(180)/15

= 156

C. 156°

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The length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm

<h2>Explanation:</h2>

Let's call:

$A_{s}:Area \ of \ square \\ \\ A_{r}:Area \ of \ rectangle \\ \\ P_{s}:Perimeter \ of \ square \\ \\ P_{r}:Perimeter \ of \ rectangle$

From the question, we know that:

A rectangle and a square have the same perimeter.

So:

$P_{s}=P_{r}$

Moreover:

The rectangle is of length 6cm and has an area of 48cm²

Accordingly:

$For \ Rectangle: \\ \\ L:Length \\ W:Width \\ \\ A_{r}=L\times W \\ \\ 48=6W \\ \\ W=8$

Also:

$A_{s}=s^2 \\ \\ S:Side \ of \ square$

From the statement of perimeters:

$P_{s}=P_{r} \\ \\ \\ But: \\ \\ P_{s}=4s \\ \\ P_{r}=2W+2L \\ \\ \\ Then: \\ \\ 4s=2W+2L \\ \\ \\ But: \ W=8 \ and \ L=6 \\ \\ 4s=2(8)+2(6) \\ \\ 4s=16+12 \\ \\ 4s=28 \\ \\ \boxed{s=7cm}$

Finally, the length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm

<h2>Learn more:</h2>

Perimeter: brainly.com/question/9969486

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Step-by-step explanation:

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The town recreation committee raised money to increase the circumference of a jogger's park, which was initially 1200 feet. It w

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Now, the radius of new park= 3x

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