Question

QUADRATIC EQUATION – WORD PROBLEMS

The length of a playground is 15 meters more than the width and the area is 2700 . If the width is x m, find an equation in x and hence, find the dimensions of the classroom.

The answer width =45 m , length = 60 m
I just need the steps

Answer 1

let the width of the playground be X

length will be (X+15)

area - length * width = 2700

(X+15)* X = 2700

x^2+15x-2700=0

x^2+60x-45x-2700=0

X(X+60)-45(X+60)=0

(X+60)(x-45)=0

x=45 because, the dimensions cannot be in negative

so length = 60 and width = 45