Image reduction

To say that I am mathematically challenged is a gross understatement! I'm trying to help my friend determine how to calculate percentages of reduction or enlargement for a quilt pattern.

She is creating a drawing of a cute picture which will become a pieced quilt. When it's done she'll create a pattern with instructions describing how to create the same quilt which customers will purchase. The pattern will be submitted to quilting magazines for selection and publication.

And this is where we get stuck. The finished quilt may measure 36" across (width) by 48" long. BUT. .. The pattern has to be copied onto a magazine page. That page may measure 8.5" x 11".

I cannot seem to find a way to calculate how to reduce the finished quilt size (36 x 48) to fit on the magazine's page requirements--worse, I can't figure out what to type into the instructions to tell the purchaser by what percentage they should enlarge the magazine's printed pattern of my design to end up with the actual finished quilt size.

Can you help me please?

Correct result:

p =  77.0833 %


k1=8.5/36=17720.2361 k2=11/48=11480.2292  k=min(k1,k2)=min(0.2361,0.2292)=11480.2292 x=36 k=36 0.2292=334=8.25 inch y=48 k=48 0.2292=11 inch p=100 (1k)=100 (10.2292)=92512=77.0833%

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Showing 1 comment:
Dr Math
Reduce dimensions of picture by p = 77.083 % if you want to preserve aspect ratio of your image on magazine page....  But even in this case image will have dimensions 8,25" x 11"  (white bars on sides)


Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Check out our ratio calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Chocolate roll
    chocholate_3 The cube of 5 cm chocolate roll weighs 30 g. How many calories will contain the same chocolate roller of a prism shape with a length of 0.5 m whose cross section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm. You know that 100 g of this
  • Three friends
    penize_49 Cuba, Matthew and their friend Adam found a brigade during their weekend weekends because they wanted to make a joint trip to the Alps that they planned for the spring break. Cuba enjoyed the skiing trip very much, so he was not lazy to get up and went to
  • Engineer Kažimír
    demagog_smer_1 The difference between politicians-demagogues and reasonable person with at least primary education beautifully illustrated by the TV show example. "Engineer" Kažimír says that during their tenure there was a large decline in the price of natural gas, pri
  • Bureau of Labor
    UPSVAR Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking sense th
  • STRESSED word
    DESSERTS Each letter in STRESSED is printed on identical cards, one letter per card and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.
  • Exponential decay
    exponentialFexsDecay A tank contains 55 liters of water. Water is flowing out at the rate of 7% per minute. How long does it take to drain the tank?
  • Dusan
    parkets a) Dusan break two same window, which has triangular shape with a length of 0.8 m and corresponding height 9.5 dm. Find how many dm2 of glass he needs to buy for glazing of these windows. b) Since the money to fix Dusan has not, must go to the paint job
  • Fresh juice
    flasa The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells it in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the ju
  • Required reserves
    ecb-printing-money_1 Calculate what is the minimum amount of money that bank must hold in cash from your deposit 2750 Eur. How much money is ideally created in the banking system from your deposit if the level of minimum reserve requirement is 2.15%? Consider fractional reser
  • University bubble
    MBA_titul You'll notice that the college up slowly every other high school. In Slovakia/Czech republic a lot of people studying political science, mass media communication, social work, many sorts of management MBA. Calculate how many times more earns clever 25-yea
  • Roof cover
    jehlan_4b_obdelnik Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m2 of sheet metal is needed to cover this roof if 5.5% of the sheet we must add for joints and waste.
  • Logik game
    logik-game Letter game Logik is a two player game, which has the following rules: 1. The first player thinks five-letter word in which no letter is not repeated. 2. The second player writes a five-letter word. 3. The first player answers two numbers - the first numb
  • Quiz or test
    test_2 I have a quiz with 20 questions. Each question has 4 multiple choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to #1 = C, then it will always be equal
  • Window
    buranie_otvoru Peter demolish box hole in the wall for window frame 147×51 cm. When they came masters fitted frame and window will be found that glass is 13.3 cm from the hole in each direction. Calculate how much percent less light enters the window than hole?
  • Lidl calculator
    lidl_calculator We don't like to advertise unnamed retail chains. But offers relatively high-quality scientific/technical calculator OLYMPIA 8510S with 97 functions(features) for 3.48 Eur. Calculate how many cents costs one feature of this calculator. We believe that eit
  • Shoes
    boty Peter decided to measure shoes size of his three friends. Measured accurately and wrote as follows: Venda and Jenda together 52 cm Jenda and Zdenda together 58 cm Zdenda and Venda together 54 cm a) How long measures Vendy, Jenda and Zdenda shoes together?
  • Bdf tablet
    bdf Detective Harry Thomson has come across a surprising mystery. As part of the weekend's action, the tablet he looked for dropped by 30%. He also recommended this bargain to his friend. However, it came to the shop on Monday, and the tablet was 30% more exp