**Finding dimensions :**

A blueprint is a technical drawing that usually displays architectural plans. The measures on the blue print would be given using scale factors. We can use scale factor to find the dimensions of the original figure.

**Example 1 : **

Peter’s blueprint shows a layout of a house. Every 4 inches in the blueprint represents 3 feet of the actual house. One of the walls in the blueprint is 24 inches long. What is the actual length of the wall ?

**Solution : **

Let "x" be the original length of the wall in feet.

**Step 1 : **

Using scale factor, we have

4 inches -----> 3 feet

24 inches -----> x feet

**Step 2 : **

Let us proportion to solve for "x"

4 : 3 = 24 : x

or

4/3 = 24/x

**Step 3 : **

Simplify

4x = (24)(3)

x = (24)(3) / 4

x = (6)(3)

x = 18

Hence, the original length of the wall is 18 feet.

**Example 2 : **

The blue print of a rectangular shaped wall is given below. In the blue print, every 1 inch represents 3 feet of the actual length. If the cost of painting is $2.50 per square feet, find the total cost of painting for the entire wall.

**Solution : **

Scale factor : 1 in = 3 feet

**Step 1 :**

Find the length of the wall in feet.

Length = 8 inches

Length = 8 x 3 feet

Length = 24 feet

**Step 2 :**

Find the width of the wall in feet.

Width = 4 inches

Width = 4 x 3 feet

Width = 12 feet

**Step 3 : **

Find area of the wall in square feet.

Area of the wall = Length x Width

Area of the wall = 24 x 12

Area of the wall = 288 square feet.

**Step 4 : **

Find the total cost of painting for the entire wall.

Cost of painting per square feet = $2.50

Total cost of painting for the entire wall is equal to area of the wall times $2.50

= 288 x 2.50

= 720

Hence, the total cost of painting for the entire wall is $720

After having gone through the stuff given above, we hope that the students would have understood "How to find dimensions using scale factor".

Apart from the stuff given above, if you want to know more about "Finding dimensions", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**