Eleanor and Max used two rectangular wooden boards to make a set for
the school play. One board was 6 feet long, and the other was 5 feet
long. The two boards had equal widths. The total area of the set was
60 square feet. What was the width?

Respuesta :

Answer:

[tex]\frac{60}{11}[/tex] feet

Step-by-step explanation:

Rectangle 1:

6 x Width = Area

Rectangle 2:

5 x Width = Area

Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet

Take Width as [tex]x[/tex] as the widths of both rectangles are the same:

[tex]5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}[/tex]