Question

a drawing of a surboard in a catalog shows it's length as 8 4/9 inches. find the actual length of surfboard if 1/2 inch length on the drawing correspond to 3/8 foot of actual length.

Answer 1

Step-by-step explanation:To find the actual length of the surfboard, you can set up a proportion based on the given scale.

The drawing scale is 1/2 inch on the drawing corresponds to 3/8 foot of actual length. Let D represent the length on the drawing, and A represent the actual length of the surfboard.

So, you have:

(Drawing length) / (Actual length) = (Scale on drawing) / (Scale on actual)

D / A = (1/2) / (3/8)

Now, solve for A:

A = (D * 3/8) / (1/2)

A = (D * 3/8) * (2/1)

A = (D * 3/4)

Now, plug in the drawing length, which is 8 4/9 inches:

D = 8 4/9 inches = 76/9 inches

A = (76/9) * (3/4)

A = (19/3) * (3/4)

A = (19/4) feet

So, the actual length of the surfboard is 19/4 feet, which is equivalent to 4.75 feet.