Question

1. a rectangle has a perimeter of 16ft. what is the length and width of the rectangle?

a. l = 4 ft, w = 5ft
b. l = 5ft, w = 3 ft
c. l = 5ft, w = 5 ft
d. l = 4ft, w = 4 ft

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(L + W)$, where $P$ is perimeter, $L$ is length and $W$ is width. Given $P=16$ ft, so $16 = 2(L + W)$.

Step2: Simplify the equation

Divide both sides of the equation $16 = 2(L + W)$ by 2. We get $L + W=8$ ft.

Step3: Check each option

• Option a: If $L = 4$ ft and $W = 5$ ft, then $L+W=4 + 5=9

eq8$ ft.

• Option b: If $L = 5$ ft and $W = 3$ ft, then $L + W=5+3 = 8$ ft.
• Option c: If $L = 5$ ft and $W = 5$ ft, this is a square (a special - case rectangle), and $L + W=5 + 5=10

eq8$ ft.

• Option d: If $L = 4$ ft and $W = 4$ ft, this is a square, and $L + W=4 + 4=8$ ft, but we usually consider non - square rectangles first when not specified otherwise.

Answer:

B. $L = 5$ ft, $W = 3$ ft