Textbook Page 79 #20

20. Leon's rectangular living room is 8.2 m by the 4.5 m. A square rug covers 2/5 of the area of the floor. What is the side length of the rug, to the nearest tenth of a metre.

I first find the area of the living room.

A=  l x w
A = 8.2 (4.5)
A= 36.9

Then, I find 40% of the area of the living room (36.9m). I got 40% because 2/5 is equivalent to 40%. 40% of the area of the living room is 14.7. I got to this answer by:

0.40 x 36.9= 14.7

I then find the side length of the rug by getting the square root of 14.7 which equals 3.82.

A= l x w
√14.7 = 3.82

The side length of the rug is 3.82 m.