math

The dimensions of a rectangle dining room are 18 feet by 16 feet.If a scale factor of 1/4 is used to make a scale model of the dining room,what is the area of the dining room in the scale model?
A.18 square feet
B.36 square feet
C.48 square feet
D.72 square feet

  1. 👍 0
  2. 👎 0
  3. 👁 930
  1. area of room = 288 ft^2
    areas of similar figures area proportional to the square of their sides

    so the area of the model is (1/4)^2 or 1/16 of the original area = (1/16)(288)
    = 18 ft^2

    or

    sides of the model:
    length = (1/4)(18) = 4.5
    width = (1/4)(16) = 4
    area of model = 4(4.5) or 18 ft^2

    1. 👍 0
    2. 👎 3
  2. 36

    1. 👍 2
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    1. Write the ratio in the simplest form. 50:10 (a) 25:5 (b) 10:2 (C) 5:1* (D) 1:5 2. Solve the following proportion. p/6=7/8 (a) p=5.25 (b) p=8 (c) p=10.5* (d) p=42 3. Chris's uncle has a model car. The model is 6 inches long and

  2. Math

    Can someone plz help me? 1. Your restaurant bill is $72.34. You want to leave about a 20% tip. Which is the best estimate of a 20% tip? A.$14.00 B.$14.40 C.$14.60 D.$14.70 2. Last year, Ken bought a mountain bike for $460. His

  3. Math help ms sue.

    Multiple Choice 1. Write the ratio in the simplest form. 45:15 (1 point) 9:3 3:1 1:3 4:1 2. Solve the following proportion. r over five equals nine over twenty-one (1 point) r = 2.14 r = 9 r = 11.66 r = 37.8 3. Sarah’s mother

  4. math

    A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model? 10.3 square feet 14 square feet 36 square feet 122.5 square feet

  1. algebra

    A rectangle room measures 14 feet by 12 feet.find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.90 per foot

  2. Math

    1. Write the ratio in the simplest form. 50: 10 (1 point) 25: 5 10: 2 5: 1* 1: 5 2. Solve the following proportion x over 2 = 8 over 9 (1 point) 144 0.44 1.78* 36 3. Sarah’s mother has a miniature village modeled after her home

  3. math

    The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio will be 15 feet by 20 feet. Which is the area of the scale model? 48 square feet 60 square feet 120

  4. math Please help!!

    Using a scale factor of 1 inch = 16 feet, what are the blueprint dimensions of a room that is 20 feet x 28 feet? A. 1.5 in x 2.5 in B. 1.25 in x 2.25 in C. 1.25 in x 1.75 in D. 1.5 in x 1.75 in Could anybody tell me how to solve

  1. MATH MS. SUE

    1. The length of a piece of paper is 8.5 inches. Using scissors, you reduce the length of the paper to 4.25 inches. What is the scale factor of the dilation? A. 1/4 B. 1/2 C. 2 D. 4 2. On a given blueprint, 1 inch = 30 feet. If

  2. math

    (05.01)A scale drawing of a kitchen is shown below. The scale is 1 : 20. A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches. Show your work to determine the area

  3. maths

    The perimeter of a rectangle is 42 feet and its length is 3 feet less than 5 times its width find the dimensions of rectengle through linear equation.

  4. Pre-Algebra

    1.Write the ratio in the simplest form 45:15 9:3 3:1*** 1:3 4:1 2.Solve the following proportion p/6 =7/8 p=5.25*** p=8 p-10.5 p=42 3.James has a model helicopter. The model is 8 inches long and 7 inches wide. The actual

You can view more similar questions or ask a new question.