Respuesta :

3/4 = 0.75 (width)
0.75 * 4 = 3 (width * 4 = length)
3 * 075 = 2.25 (width * length = area)

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

Step-by-step explanation:

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

[tex]A=lw[/tex]

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:

[tex]l=4w[/tex]

We know that the width of the flowerbed is:

[tex]w=\frac{3}{8}\ m[/tex]

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

 [tex]l=4w\\\\l=4(\frac{3}{8}\ m)\\\\l=\frac{3}{2}\ m[/tex]

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

[tex]A=(\frac{3}{2}\ m)(\frac{3}{8}\ m)\\\\A=\frac{9}{16}\ m^2[/tex]

(or [tex]\ 0.5625\ m^2[/tex])

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