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snow_lady [41]
3 years ago
10

A rectangle is twice as long as it is wide, and has a perimeter of 48 inches, what is the area of the rectangle?

Mathematics
2 answers:
IceJOKER [234]3 years ago
5 0
Answer: A = 128 in^2

Explanation:
Assume:
X is the width
And 2x is the length

We know Perimeter = 48

P = 2(x + 2x) = 48
2x + 4x = 48
6x = 48
x = 8

Now we found the width which is 8
And the length is 2 times the width which is 8 x 2 = 16

Now that we have both length and width we can find the area

A = 16 x 8 = 128
Margarita [4]3 years ago
5 0

Answer:

  • 128 inches²

Step-by-step explanation:

P = 2w + 2l

l = 2w

48 = 2w + 2×2w

48 = 2w + 4w

48 = 6w

w = 48 : 6

w = 8 inches

l = 2w

l = 2×8inches

l = 16 inches

A = w×l

= 8in × 16in

= 128 inches²

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<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

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  • A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

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The zeroes of the polynomial functions are as follows:

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The zeroes of a polynomial are the vales of the variable which makes the value of the polynomial to be zero.

The polynomials are given as follows:

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For the polynomial, f(x) = 2x(x - 3)(2 - x), the zeroes are 3, 2

For the polynomial, f(x) = 2(x - 3)²(x + 3)(x + 1), the zeroes are 3, - 3, and -1

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In conclusion, the zeroes of a polynomial will make the value of the polynomial function to be zero.

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