Question

To find the area A of a rectangle, the length l must be multiplied by the width w. A farmer needs to build a fence to enclose a chicken pen with an area greater than or equal to 50 square feet. The length of the fence must be 10 feet. Write an inequality that describes the widths w that will yield a fenced-in area of at least 50 square feet.

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Answer 1

An inequality that describes the widths (w) that will yield a fenced-in area of at least 50 square feet is $W\geq 5$.

• Let the length of the rectangle be L.

• Let the width of the rectangle be W.

Given the following data:

• Length of rectangle = 10 feet.

• Area of rectangle ≥ 50 square feet.

To write an inequality that describes the widths (w) that will yield a fenced-in area of at least 50 square feet:

How to calculate the area of a rectangle.

Mathematically, the area of a rectangle is given by the formula;

$A=LW$

Where:

• A is the area of a rectangle.

• L is the length of a rectangle.

• W is the width of a rectangle.

Substituting the given parameters into the formula, we have;

$50\geq 10W\\\\W\geq \frac{50}{10} \\\\W\geq 5$

Note: The width would start from 5 on the number line with the arrow pointing rightward.

Read more on area of a rectangle here: https://brainly.com/question/25292087