10. The diagram shows the layout of a room
10 m
7 m
3m
Diagram
not drawn
accurately
5 m
The area of the room is 68 m².
Work out the perimeter of the room.

10 The diagram shows the layout of a room 10 m 7 m 3m Diagram not drawn accurately 5 m The area of the room is 68 m Work out the perimeter of the room class=


Answer :

anbu40

Answer:

Perimeter of room = 42 m

Step-by-step explanation:

Perimeter and Area:

[tex]\boxed{\bf Area \ of \ rectangle = length * width }[/tex]

Area of rectangle I:

   length = 10 m

   width = 5 m

Area of rectangle I = 10 * 5

                               = 50 m²

Area of rectangle II:

  length = x m

   width = 10 - 7 = 3 m

Area of rectangle II = 3*x

                                = 3x m²

Area of rectangle I + area of rectangle II = area of the room

50 + 3x = 68

        3x = 68 - 50

        3x = 18

          x = 18 ÷ 3

         x = 6

Width of rectangle II = 6 m

Perimeter of the room = 10 + 5 + 7 + 6 + 3 + 6 + 5

                                      = 42 m

View image anbu40