Question

The length of a rectangle is 4 m more than the width. The are is 30 m ^2. find the width and length.

Answer 1

Explanation:

AREA FORMULA: LENGTH * WIDTH

L*W=30

L=W+4 thus

(W+4)W=30

W^2+4W=30

W^2+4W-30=0

USING THE QUADRATIC EQUATION WE GET

X=(-B+-SQRT[B^2-4QC])/2A

X=(-4+-SQRT16-4*1*-30])/2*1

X=(-4+-SQRT16+120])/2

X=(-4+-SQRT136)/2

X=(-4+-11.66)/2

X=(-4+11.66)/2

X=7.66/2

X=3.83M IS THE WIDTH.

THUS THE LENGTH IS

L*3.83=30

L=30/3.83

L=7.83M IS THE LENGTH