Question

Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4}
4
3
​
of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7
2
1
​
long.



How long, in feet, will the table be when the carpenter builds it?

Answer 1

Using proportions, it is found that the table will be 110 feet long when the carpenter builds it.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In the drawing, 0.75 inches represent 11 feet. The drawing is of 7.5 inches, and the real dimension is of d, hence the rule of three is given by:

0.75 inches - 11 feet.

7.5 inches - d feet

Applying cross multiplication:

0.75d = 7.5 x 11

d = 7.5 x 11/0.75

d = 110.

The table will be 110 feet long when the carpenter builds it.

More can be learned about proportions at https://brainly.com/question/24372153

Answer 2

The scale model of the table would ensure that the actual table is bigger than the scale model

The length of the table would be 110 feet

How to determine the table length?

The scale model is given as:

Ratio = Scale : Actual

So, we have:

Ratio = 3/4 inches : 11 feet

For a table of 7 1/2 inches, we have the following ratio

Ratio = 7 1/2 inches : Actual

Equate both ratios

7 1/2 inches : Actual = 3/4 inches : 11 feet

Express as decimals

7.5 inches : Actual = 0.75 inches : 11 feet

Rewrite as:

7.5 : Actual = 0.75 : 11 feet

Express as fraction

Actual/7.5 = 11 feet/0.75

Multiply both sides by 7.5

Actual = 7.5 *  11 feet/0.75

So, we have:

Actual = 110 feet

Hence, the length of the table would be 110 feet

Read more about ratios at:

https://brainly.com/question/12416132