Question

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

Answer 1

Answer:

The inequality is: $5(x - 2) \geq 35$

The solution is: $x \geq 9$

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

$5(x - 2) \geq 35$

$5x \geq 45$

$x \geq \frac{45}{5}$

$x \geq 9$