Answer to Question #287293 in Geometry for Mum

Question

Q:

A couple wishes to replace the carpeting in their master bedroom. Their master bedroom measures 24 ft by 16 ft. If carpeting is sold by the square yard, how many square yards of carpeting are needed?

Answer 1

1yd=3ft, so 1ft=0.33yd

1ft=0.33yd

24ft=?yd

(24ft/1ft)*0.33yd= 8yd

16ft=?yd

16ft/1ft*0.33yd= 5.33yd

$Area= L*W$

$=8*5.33$ $=42.64yd^2$

alternatively

$24ft*16ft=384ft^2$

$9ft^2=1yd^2$

$(384ft^2/9ft^2)*1yd^2$

$=42.64yd^2$

square yards of carpeting that are needed is $42.64yd^2$