The width of a rectangle is 16 meters. The perimeter of a rectangle must be at least 102 meters and not more than 128 meters. Find the interval for the length l .
A) $35 \leq l \leq 48$
B) $35 \leq l \leq 96$
C) $19 \leq l \leq 48$
D) $35 \leq l \leq 64$
E) $32

Question

The width of a rectangle is 16 meters. The perimeter of a rectangle must be at least 102 meters and not more than 128 meters. Find the interval for the length l .
A) $35 \leq l \leq 48$
B) $35 \leq l \leq 96$
C) $19 \leq l \leq 48$
D) $35 \leq l \leq 64$
E) $32 < l < 50$

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. We are given that the width is 16 meters, so the perimeter can be written as P = 2(l + 16). We are also given that the perimeter must be at least 102 meters and not more than 128 meters, so we can write the following inequalities:102 ≤ 2(l + 16) ≤ 128Dividing both sides of each inequality by 2, we get:51 ≤ l + 16 ≤ 64Subtracting 16 from all sides of each inequality, we get:35 ≤ l ≤ 48Therefore, the interval for the length l is 35 ≤ l ≤ 48.

The Width of a Rectangle Is 16 Meters 35≤l≤4835 \leq l \leq 4835≤l≤48

The Width of a Rectangle Is 16 Meters $35 \leq l \leq 48$