The length of a rectangle is 5 cm greater then it’s width find the dimensions of the rectangle if its area is 126 cm²

Answer 1

Hi

Let the length is x and the width is y, so

since the length is 5 cm greater than the width then x=y+5

since the area is 126 cm² then xy=(y+5)y=126

which means that y²+5y=126 which implies that y is either -14 (which is a rejected solution) or 9 (accepted solution) and then x=9+5=14

so the length is 14 cm and the width is 9 cm