Question

The perimeter of a rectangle is 21.2 m, and its area is 23.68 m².

Find its length and width.
length: m
width: m

Answer 1

Perimeter of a rectangle =2(l+w)=21.2m
Area of a rectangle =l*w=23.6m2
21.2=2l+2b————-(eq 1)
23.6=lw—————(eq 2)
l=23.6/w———————(eq 3)
Substitute eq 3 into eq 1
21.2=2(23.6/w)+2w
21.2=47.2/b +2w
Add the right hand side
21.7=(47.2+2w^2)/w
Cross multiply
21.7w=47.2+2w^2