Question

The perimeter of a rectangle is 50 in, and the length of the rectangle is 10 in. Which method can be used to find the width of the rectangle?

a) Substitution method
b) Factoring method
c) Perimeter formula method
d) Trial and error method

Answer 1

To find the width of the rectangle with a known perimeter and length, we should apply the perimeter formula method, which involves using the perimeter equation of a rectangle, substituting the known values, and solving for the width.

Step-by-step explanation:

To find the width of the rectangle when the perimeter is 50 inches and the length is 10 inches, we should use the perimeter formula method. The perimeter P of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width of the rectangle.

Since we know the perimeter P is 50 inches and the length l is 10 inches, we substitute these values into the formula to get 50 = 2(10 + w). To find the width w, we can follow these steps:

1. Divide both sides of the equation by 2 to isolate the term with w, getting 25 = 10 + w.
2. Subtract 10 from both sides to solve for w, yielding w = 15 inches.

Thus, the width of the rectangle is 15 inches.