Question

the area of a rectangle is 56.96 m². if the length is 16 m, what is its perimeter? what is the area of an object? the boundary around an object the amount of space an object takes up

Explanation:

Step1: Find the width of the rectangle

The area formula of a rectangle is \(A = length\times width\). Given \(A = 56.96\space m^{2}\) and \(length=16\space m\), then \(width=\frac{A}{length}\).

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

Step2: Calculate the perimeter of the rectangle

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

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

Answer:

The perimeter of the rectangle is \(39.12\space m\)