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taurus [48]
2 years ago
12

The length of a flowerbed is 4 times as long as its width. If the width is 3/8 meter, what is the area?

Mathematics
2 answers:
bezimeni [28]2 years ago
8 0
3/4 = 0.75 (width)
0.75 * 4 = 3 (width * 4 = length)
3 * 075 = 2.25 (width * length = area)
Damm [24]2 years ago
5 0

Answer: A=\frac{9}{16}\ m^2  (or \ 0.5625\ m^2)

Step-by-step explanation:

The area of a rectangle can be calculated with the following formula:

A=lw

Where "l" is the lenght and "w" is the width.

In this case we know that the length of a flowerbed is 4 times as long as its width. This can be expressed as:

l=4w

We know that the width of the flowerbed is:

w=\frac{3}{8}\ m

Therefore, substituting the width into  l=4w, we get that the length is:

 l=4w\\\\l=4(\frac{3}{8}\ m)\\\\l=\frac{3}{2}\ m

Finally we can substitute the width and the lenght into the formula for calculate the area of a rectangle:

A=(\frac{3}{2}\ m)(\frac{3}{8}\ m)\\\\A=\frac{9}{16}\ m^2

(or \ 0.5625\ m^2)

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Step-by-step explanation:

3

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

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4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

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4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0
3 years ago
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Oksanka [162]

Answer:

Your answer is 3.1

Step-by-step explanation:

Wherever you see j, substitute 5.  Wherever you see k, substitute 3

1.  Set up:  4.7(5)-6.8(3)

2.  Multiply 4.7 * 5, to get 23.5

3.  Multiply 6.8 * 3 to get 20.4

4.  Subtract 23.5-20.4

5.  Final anwer - 3.1

Hope this helps!

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