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vaieri [72.5K]
2 years ago
7

A rope 40m long is used to form a rectangle. If the length of the rectangle formed is 4m longer than the width. Calculate the ar

ea of the rectangle
Mathematics
2 answers:
ivanzaharov [21]2 years ago
5 0

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

Kamila [148]2 years ago
5 0

Answer:

96m^2

Step-by-step explanation:

40=2(x+x+4)--> 2(2x+4).

20=2x+4

20-4=2x

16=2x

8=x

8✖️12=96m^2

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I need help, pls and thx
Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

  • \Delta = (-2)^2 - 4(5)(7) = 144
  • x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}
  • x_2 = \frac{2 - \sqrt{144}}{10} = -1

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

7 0
2 years ago
5 DIVIDED BY 1/4 hURRY PLEASE
Anni [7]

Hello!

1/4 is equal to 0.25. Let's divide below.

5/0.25=20

When dividing by fractions, you multiply by the reciprocal. The reciprocal of 1/4 is 4, and 5(4)=20

Therefore, our answer is 20.

I hope this helps!

6 0
3 years ago
Read 2 more answers
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Neporo4naja [7]
We can find the value of x through a proportion. Since these two triangles are similar, their sides are in proportion.

4 is to 12 as 5 is to x
Remember to say 12, not 8! 8 is only part of the whole side. We can also simplify 4 is to 12 to 1 is to 3.

1/3 = 5/x
Cross multiply
x = 15
Hope this helps!
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3 years ago
Takira is an appointment-setter for a sales organization. She makes $12 an hour plus a $3 fee for each appointment that is sched
aksik [14]
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5 0
3 years ago
Factor completely.
Svetllana [295]
To help explain how you get A for the answer:
work backwards
5(3a²+11a-4)
multiply everything by 5
5×3a²=15a²
5×11a=55a
5×-4=-20
15a²+55a-20
6 0
3 years ago
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