#### Answer

29 $yd^{2}$

#### Work Step by Step

Carpeting is to be purchased for the family room and hallway shown
We need to find the area to be covered
By looking at the area we can divide the area into two rectangles I and II
area of the required one = area of rectangle I + area of rectangle II
Area of rectangle whose base has length b and height has length h is given by A =bh
Area of rectangle I = 5 * 5 = 25 $yd^{2}$
Area of rectangle II = 1 * 4 = 4 $yd^{2}$
Total area of the covered region = 25 $yd^{2}$ + 4 $yd^{2}$ = 29 $yd^{2}
Total area sheet to be purchased = 29 $yd^{2}$