**2.4**

**Question 20**

*Leon's rectangular living room is 8.2m by 4.5m. 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?*First off we have to figure out the area of the room before we find the rug. So the formula for a rectangle is

*l x w.**8.2 x 4.5 = 36.9m*

That is the area of the room. The rug is 2/5 the size of the room. So we multiply the area by 0.4. (Remember! 0.4 = 2/5)

*36.9 x 0.4 = 14.76m*

14.76 is the area of the

*square*rug.

To find the side length of the square rug we have to square root it.

*the square root of 14.76 = 3.8m*

(I apologize for not having a symbol for square rooting. If anyone has suggestions please comment.)

So the side length of the square rug is

*3.8m.*

*Thanks for reading this post. If you have comments or suggestions please comment below. Bye!*
Haha I noticed I put 4.2 instead of 2.4 so I changed that.

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