Answer:
Option A is correct
3.33 ft wide should the metal piece be.
Step-by-step explanation:
Area of rectangle(A) is given by:
.....[1]
l is the length and w is the width of the rectangle respectively.
As per the statement:
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²
⇒A = 30 ft²
It is also given that the length is 1 less than 3 times the width
⇒ ft
Substitute the given values in [1] we have;
Using distributive property:
then;
We can write this as:
Factorize this equation:
Split the middle term we have;
⇒
⇒
By zero product property we have;
and w+3 = 0
Since, w cannot be negative;
so,
ft
Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.