Question

the perimeter of a rectangle is to be no greater than 100 centimeters and the length must be 40 centimeters. Find the maximum width of the rectangle.

Answer 1

Let's assume the width of the rectangle is "x" centimeters.

The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

Since the length is given as 40 centimeters, the formula becomes:

Perimeter = 2(40 + x)

According to the given conditions, the perimeter must not exceed 100 centimeters. Therefore, we can write the inequality:

2(40 + x) ≤ 100

Now let's solve this inequality for "x":

80 + 2x ≤ 100
2x ≤ 100 - 80
2x ≤ 20
x ≤ 10

Hence, the maximum width of the rectangle is 10 centimeters.