Answer
Area of the real dining hall = 72 m²
Step-by-step explanation
The area of any rectangular shape is given as
Area = L × W
where
L = Length of the rectangle
W = Width of the rectangle
For this question, we have been given the dimensions of the dining hall in the drawing and told that
5 cm in the drawing = 6 m in reality
So, if the real length of the dining is L
5 cm = 6 m
10 cm = L
We can write a mathematical relationship by cross multiplying
(5) (L) = (10) (6)
5L = 60
Divide both sides by 5
(5L/5) = (60/5)
L = 12 m
If the real width of the dining hall is W
5 cm = 6 m
5 cm = W
We can write a mathematical relationship by cross multiplying
(5) (W) = (5) (6)
5W = 30
Divide both sides by 5
(5W/5) = (30/5)
W = 6 m
So, for the real dining hall,
Length = 12 m
Width = 6 m
Area = Length × Width
Area = 12 × 6
Area = 72 m²
Hope this Helps!!!