Question

the area of a rectangle is 56.96 m². if the length is 16 m, what is its perimeter? check your work! the perimeter of the rectangle is meters.

Explanation:

Step1: Find the width of the rectangle

The area formula of a rectangle is \(A = l\times w\) (where \(A\) is area, \(l\) is length, \(w\) is width). Given \(A = 56.96\space m^{2}\) and \(l = 16\space m\), we can find \(w\) by \(w=\frac{A}{l}\).

$$w=\frac{56.96}{16}=3.56\space m$$

Step2: Calculate the perimeter of the rectangle

The perimeter formula of a rectangle is \(P = 2(l + w)\). Substitute \(l = 16\space m\) and \(w = 3.56\space m\) into the formula.

$$P=2\times(16 + 3.56)=2\times19.56 = 39.12\space m$$

Answer:

\(39.12\)