QuestionEmily's barn drawing is 15 in. wide and 18 in. long. If the actual width is 10 ft, find the actual length.

Studdy Solution

STEP 1

Assumptions1. The width of the stable in the drawing is15 in. The length of the stable in the drawing is18 in3. The actual width of the stable is10 ft4. The scale of the drawing is constant for both width and length5.1 ft =12 in

STEP 2

First, we need to find the scale of the drawing. We can do this by dividing the actual width by the width in the drawing.
$Scale = \frac{Actual\, width}{Width\, in\, drawing}$

STEP 3

Now, plug in the given values for the actual width and the width in the drawing to calculate the scale.
$Scale = \frac{10\, ft}{15\, in}$

STEP 4

Convert the actual width from feet to inches, since the width in the drawing is given in inches.
$10\, ft =120\, in$ $Scale = \frac{120\, in}{15\, in}$

STEP 5

Calculate the scale.
$Scale = \frac{120\, in}{15\, in} =8\, in/in$

STEP 6

Now that we have the scale, we can find the actual length of the stable. This can be done by multiplying the length in the drawing by the scale.
$Actual\, length = Length\, in\, drawing \\times Scale$

STEP 7

Plug in the values for the length in the drawing and the scale to calculate the actual length.
$Actual\, length =18\, in \\times\, in/in$

STEP 8

Calculate the actual length.
$Actual\, length =18\, in \\times8\, in/in =144\, in$

STEP 9

Finally, convert the actual length from inches to feet.
$144\, in =12\, ft$ The actual length of the stable is12 feet.

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