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The lenght of a rectangle is 2 more than twice its width.If the area of the rectangle is 24 sq meters,find its dimension

Sagot :

L=2w+2
A=24 sqr. meters

The formula for the area is:
A=lw
Substitute
24 sqr. meters=(2w+2)(w)
Distribute the w
24=2w²+2w
0=2w²+2w-24
Divide both sides by 2
0=w²+w-12
Factor
0=(w+4)(w-3)
width=3 m(not -4 because there is no negative length)

Substitute
L=2(3)+2
L=8 m
Hope this helps =)