Question

A farmer wants to increase the area of His rectangular pen but keep the pen a rectangular shape. He decides to a 5.7 yards of fencing
to the width of the pen but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Which can be used to determine the original width of the pen?
5.7 (W+9.5) = 77.9
S95219
9.5 (W + 5.7) = 77.9

Answer 1

Using the equation for the area of a rectangle, the original width of the pen is determined by:

9.5 (W + 5.7) = 77.9

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

$A = lw$

In this problem:

• Increases the width by 5.7 yards, hence $w = w + 5.7$, in which w is the original width.

• The length remains at 9.5 yards, hence $l = 9.5$.

• The area is of 77.9 square yards, hence $A = 77.9$

Then:

$A = lw$

$9.5(w + 5.7) = 77.9$

For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198