Question

The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual porch is 12 feet wide, what is the length of the porch?

Answer 1

18ft

Step-by-step explanation:

Answer 2

The actual length of the porch is 18 feet.

Step-by-step explanation:

Scale =
`(length on drawing)/(actual length)`

So that considering the width of the drawing and actual porch,

1 foot = 12 inches

12 feet = 12 x 12 inches

= 144 inches

scale =
`(8)/(144)`

=
`(1)/(18)`

Given that the length of the porch drawn is 12 inches, let the actual length of the porch be represented by x. Then the actual length can be determined by;

scale =
`(length on drawing)/(actual length)`

`(1)/(18)` =
`(12)/(x)`

x = 12 x 18

= 216

x = 216 inches

But,

1 foot = 12 inches

216 inches = 18 feet

The actual length of the porch is 18 feet.