Respuesta :

[tex]\frac{11}{8}[/tex]Answer:

55 in by 40 in

Step-by-step explanation:

The perimeter (P)  of a rectangle is calculated as

P = 2l + 2w ( l is the length and w the width )

Here l = [tex]\frac{11}{8}[/tex] y and w = y with P = 190

2y + (2 × [tex]\frac{11}{8}[/tex] y ) = 190

2y + [tex]\frac{11}{4}[/tex] y = 190 ( multiply through by 4 to clear the fraction )

8y + 11y = 760 , that is

19y = 760 ( divide both sides by 19 )

y = 40

Thus l = [tex]\frac{11}{8}[/tex] × 40 = 11 × 5 = 55 in and w = 40 in