Question

Matthew made a scale drawing of a diner. The scale of the drawing was 3 inches ; 2 feet. In the drawing, a table in the diner is 15 inches long. What is the length of the actual table?​

Answer 1

Therefore, the length of the actual table in the diner is 10 feet!

Explanation:

To find the length of the actual table in the diner, we need to use the scale given in the drawing!

The scale of the drawing is 3 inches to 2 feet. This means that for every 3 inches in the drawing, it represents 2 feet in real life.

We know that in the drawing, the table is 15 inches long. To find the length of the actual table, we can set up a proportion using the scale:

(Length in drawing) / (Length in real life) = (Scale of drawing)

Let's plug in the values we know:

(15 inches) / (Length in real life) = (3 inches) / (2 feet)

To solve for the length in real life, we can cross-multiply:

15 inches * 2 feet = 3 inches * (Length in real life)

30 feet = 3 inches * (Length in real life)

To isolate the Length in real life, we divide both sides by 3 inches:

(30 feet) / (3 inches) = Length in real life

This simplifies to:

10 feet = Length in real life!

I hope this answer is helpful to you! :>

-M

Answer 2

`\bold{ANSWER:}`
120 inches


`\bold{SOLUTION:}`

To find the length of the actual table, we can use the given scale of the drawing and the length of the table in the drawing.

The scale of the drawing is 3 inches : 2 feet, which means that for every 3 inches in the drawing, it represents 2 feet in reality.

Given that the length of the table in the drawing is 15 inches, we can set up a proportion to find the length of the actual table:

(Length of actual table) / (Length in drawing) = (Scale factor)

Let's substitute the given values:

(Length of actual table) / 15 inches = 2 feet / 3 inches

To solve for the length of the actual table, we can cross-multiply and then divide:

(Length of actual table) = (15 inches) * (2 feet) / (3 inches)

First, let's convert the feet to inches:

1 foot = 12 inches

(Length of actual table) = (15 inches) * (2 feet) / (3 inches)
= (15 inches) * (2 * 12 inches) / (3 inches)
= (15 inches) * (24 inches) / (3 inches)

Now, we can cancel out the inches and calculate the length of the actual table:

(Length of actual table) = (15 * 24) / 3
= 360 / 3
= 120 inches

Therefore, the length of the actual table is 120 inches.