the length of the room is 1 more than 3 times the width. the area of the room is 80 square meters. what is the width of the room?

Question

johnweldon1993 · Answer

Well we know that Area = Length x Width...

A = L x W

And we know the length is 1 (+1) more than 3 times (3w) the width...

so

L = 3W + 1

So we plug everything in we know...

A = L x W

Area = 80
L = 3W + 1     so

80 = (3W + 1)W

Distribute that W

80 = 3w^2 + w

Subtract the 80 from both sides...

$$\large 3w^2 + w - 80 = 0$$

Looks like a quadratic to me...can you take this from here?