Question

The diagram shows a scale drawing of the floor plan of a tuition centre drawn to a scale of 1:400.The shape of each room is rectangle.Find the actual area,in m^2,of the hall​

Answer 1

Answer:

7,000 m²

Step-by-step explanation:

The general formula for the area of a rectangle is:

A = l x w, where 'l' is the length and 'w' is the width

In the figure shown, the overall diagram is in the shape of a rectangle with a length of 12 cm.  On the other side, where the hall is located, there are two additional rooms that are 2cm and 3cm in length.  Taking 12 - 2 - 3 = 7 cm,which is the length of the hall.  The width of the hall is the same as all the rooms on that side, 2.5 cm.  

A = 2.5 x 7 = 17.5 cm

To find the area in meters, you can set up a proportion:

$\frac{centimeters}{meters}=\frac{1}{400}=\frac{17.5}{x}$

Cross-multiply:  x = (17.5)(400) = 7,000 m²