Question

The length of a rectaangle 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2x length +2w=48

find the length, in centimeters, if the if the width is:
10cm
3.6cm
w centimeters ​

Answer 1

Explanation:

We are told that the perimeter is 48 = 2L + 2W. This reduces to

24 = L + W. Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:

a) If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm

b) If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm

c) If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm