kylieanthony03
kylieanthony03 kylieanthony03
  • 16-03-2020
  • Mathematics
contestada

The length of a certain rectangle is 15cm more than three times its width. If the perimeter of the rectangle is 94cm, what is the area.​

Respuesta :

devishri1977
devishri1977 devishri1977
  • 18-03-2020

Answer:

Step-by-step explanation:

Let w be the width

Length = 3w +15

Perimeter = 94 cm

2*(length + width) = 94

2*(3w+15 + w) = 94

2*( 4w + 15) = 94

4w + 15 = 94/2

4w +15 = 47

        4w = 47 -15

         4w = 32

           w = 32/4

          w = 8 cm

Length = 3w +15 = 3*8 + 15 = 24 +15 = 39

Length = 39cm

Area = length * width = 39*8 = 312

Area = 312 cm²

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