A rectangle is 4 times as long as it is wide. The perimeter is 150cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary

Answer:Length 60 cmWidth 15 cmStep-by-step explanation:Letx ----> the length of rectangley----> the width of rectanglewe know thatThe perimeter of rectangle is equal to[tex]P=2(x+y)[/tex]we have[tex]P=150\ cm[/tex]so[tex]150=2(x+y)[/tex]simplify[tex]75=x+y[/tex] ----> equation A[tex]x=4y[/tex] ----> equation Bsubstitute equation B in equation A[tex]75=4y+y[/tex]solve for y[tex]75=5y[/tex][tex]y=15\ cm[/tex]Find the value of x[tex]x=4y[/tex] -----> [tex]x=4(15)=60\ cm[/tex] thereforeThe dimensions of the rectangle areLength 60 cmWidth 15 cm