Write an inequality for x that would give this rectangle a perimeter of at least 300ft
width: 3ft
height: x+5ft

The inequality for is:

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = ft

Perimeter is at least 300 ft

To write an inequality for .

Solution:

Perimeter of a rectangle is given as:

⇒

where represents length of the rectangle and represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒

Using distribution:

⇒

Simplifying.

⇒

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒

Solving for

Subtracting both sides by 16.

⇒

⇒

Dividing both sides by 2.

⇒

⇒   (Answer)

(a) the volume of the cone is 20/3 in3

hence, option a is correct.