contestada

The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Write an equation that could be used to find the length of the parallelogram. (Remember: the perimeter of a rectangle is the sum of the lengths of its sides or P=2L + 2W)

Respuesta :

samuelonum1

Answer:

L= 16 m

W= 12 m

Step-by-step explanation:

let us define the parameters of the parallelogram

let the length be L

and the width be W

given that the W= L-4

perimeter= 72 meters

We know that the perimeter of a parallelogram is given as

[tex]P=2L + 2W[/tex]

Substituting W= L-4 for W we have

[tex]72=2L + 2(L-4)\\\\72= 2L+2L-8 \\\\72= 4L-8\\\\4L= 72-8\\\\4L= 64[/tex]

Divide both sides by 4 we have

[tex]L= 64/4\\\\L= 16 m[/tex]

From w= L-4 we can find w by setting L= 16

W= 16-4

W= 12 m

Otras preguntas