Question

The perimeter of a rectangle is 16.6km, and its area is 13.42km2. Find its length and width. length : km width : km

Answer 1

l=5.12 & w=2.62

Step by step Step-by-step explanation:

A=l×w

13.42=lw

w=13.42/l

`p = 2(l + w) \\ 16.6 = 2(l + (13.42)/(l) ) \\ 16.6 = 2( \frac{ {l}^(2) + 13.42}{l}) \\ 16.6 = 2(l + 13.42) \\ 16.6 = 2l + 26.84 \\ 2l = 26.84 - 16.6 \\ 2l = 10.24 \\ l = (10.24)/(2) \\ l = 5.12km`

Since you have found the value of the length you can find the value.of the width.

`w = (13.42)/(l) \\ w = (13.42)/(5.12) \\ w = 2.62km`