contestada

A rectangle has a width measuring 5 ft. and a length measuring x −2. Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet

Respuesta :

Answer:

The inequality is: [tex]5(x - 2) \geq 35[/tex]

The solution is: [tex]x \geq 9[/tex]

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle with length l and width w is given by:

A = lw

In this question:

Width 5 feet.

Length x - 2.

For which the area of the rectangle will be at least 35 square feet

Equal or greater than 35. So

[tex]5(x - 2) \geq 35[/tex]

[tex]5x \geq 45[/tex]

[tex]x \geq \frac{45}{5}[/tex]

[tex]x \geq 9[/tex]

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