On a scale drawing if 1/4 of an inch represents a distance of 1 foot then a line on the drawing measuring 8 1/2 inches represents ? Feet

1 answer

( 1 / 4 ) in ∙ 4 = 1 in

1 ft ∙ 4 = 4 ft

1 inch represents a distance of 4 foot.

8 1/2 in = 8.5 in

8.5 ∙ 4 = 34

8.5 inches represents a distance of 34 foot.

OR

( 1 / 4 ) / 1 = 8.5 / x

1 / 4 = 8.5 / x Multiply both sides by 4

1 = 8.5 ∙ 4 / x

1 = 34 / x Multiply both sides by x

x = 34

8.5 inches represents a distance of 34 foot.