Respuesta :

luisejr77

Answer: The area is  [tex]320m^2[/tex]

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

[tex]A=lw[/tex]

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

We know the width and the perimeter, then we can solve for the lenght from the following formula, which is used to calculate the perimeter of a rectangle:

[tex]P=2l+2w[/tex]

Then:

[tex]72m=2l+2(16m)\\72m-32m=2l\\\l=\frac{40}{2}\\\\l=20m[/tex]

Substituting values into the formula [tex]A=lw[/tex], we get that the area of the rectangle is:

[tex]A=(16m)(20m)[/tex]

[tex]A=320m^2[/tex]

imlittlestar

Answer:

The area of rectangle = 320 m²

Step-by-step explanation:

Points to remember

Area of rectangle = lb

l - length and b - width

It is given that, perimeter of rectangle is 72 m. And width of rectangle = 16 m

To find the value of length

Perimeter = 2(l + b)

72 = 2(l + 16)

36 = l + 16

l = 36 - 16 = 20

To find the area of rectangle

Area = lb

 = 20 * 16

 = 320 m²

Therefore area of rectangle = 320 m²

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