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monitta
2 years ago
5

Simon has a certain length of fencing to enclose a rectangular area. The function AAA models the rectangle's area (in square met

ers) as a function of its width (in meters).
Which of these statements are true?

Choose all answers that apply:

Choose all answers that apply:


(Choice A)

A

Greater width always relates to smaller area.


(Choice B)

B

Greater width relates to smaller area as long as the width is less than 10\text{ m}10 m10, start text, space, m, end text.


(Choice C)

C

When there is no width, the area is 20\text{ m}^220 m

2

20, start text, space, m, end text, squared.


(Choice D)

D

When there is no width, the area is 0\text{ m}^20 m

2

0, start text, space, m, end text, squared.
Mathematics
1 answer:
pav-90 [236]2 years ago
4 0

Answer:

When there is no width, the area is 0m²

Step-by-step explanation:

Expressing the area of a rectangle as a function of its width:

Area of a rectangle = Length * width

Since the area of rectangle is related to the width by the multiplication operatkr. We can conclude from the options given that ; if the value of width = 0 ; the the area of rectangular plot = 0

When x :

Area = Length * width

Area = Length * 0

Area = 0

Area = Length * 0

Aea = 0

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Answer:

The fraction is \frac{4}{6}

Option (B) is correct.

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Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is \frac{n}{d}=\frac{2}{3}

Cross multiply , we get,

3n=2d

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Cross multiply , We get,

4{n+2}={3}{d+2}

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Multiply equation (3) by 2 , we get ,

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Adding (4) and  (5) , we get,

9n - 6d -8n + 6d = 4 + 0

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3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0  ⇒  12 = 2d ⇒ d = 6

so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


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