1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stealth61 [152]
3 years ago
15

Mario’s house has a rectangular door and a rectangular window that are similar shapes. Each dimension of the door is 1.8 times t

he dimensions of the window. Which of the following is true?
A. The area of the door is 1.8 times the area of the window.
B. The area of the door is 3.6 times the area of the window.
C. The area of the door is 3.24 times the area of the window.
D. The perimeter of the door is 3.24 times the perimeter of the window
Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0

Answer:

The area of the door is 3.24 times the area of the window.

Step-by-step explanation:

The area of a recangle is given by the following formula:

area = width*length

While the perimeter is given by:

perimeter = 2*width + 2*length

Assumint the width of the window is x and the length of the window is y, it's area and perimeter are:

window area = x*y

window perimeter = 2*x + 2*y

Since each dimension of the door is 1.8 times the dimensions of the window, then the door width = 1.8x and the door length = 1.8y. So the area and the perimeter are:

door area = (1.8*x)*(1.8*y) = 3.24*x*y

door perimeter = 2*(1.8*x) + 2*(1.8*y) = 3.6*x + 3.6*y = 3.6*(x + y)

Since window area = x*y and window perimeter = (x + y), we have:

door area = 3.24*(window area)

door perimeter = 3.6*(window perimeter)

Therefore the correct answer is C. The area of the door is 3.24 times the area of the window.

mariarad [96]3 years ago
8 0

Answer:

C. The area of the door is 3.24 times the area of the window.

Step-by-step explanation:

Area of rectangle = length × width

Perimeter of a rectangle = 2 (length × width)

Let the dimension of the window be;

length = l

width = w

Area of window = l × w

                           = lw

Perimeter or window = 2(l + w)

Given that: the dimension of the door is 1.8 times that of the window, dimension of door are;

length of door = 1.8l

width of door = 1.8w

Area of the door = 1.8l × 1.8 w

                            = 3.24lw

But area of window = lw, therefore;

∴ Area of door = 3.24 ×Area of window

Perimeter of door = 2 (1.8l + 1.8w)

                             = 3.6 (l + w)

∴ Perimeter of door = 3.6 × Perimeter of window

Therefore, area of the door is 3.24 times the area of the window is the correct option.

You might be interested in
Complete the point-slope equation of the line through
jek_recluse [69]

Answer:

y +1 = 3/4(x -1)

Step-by-step explanation:

8 0
2 years ago
Solve for c : <br> 6/13=3/c
nexus9112 [7]
Cross mutiply and the answer would be 13/2 or 6.5
7 0
3 years ago
Mr. Owens' printer can print 55 pages in 30 minutes. How many pages can it print In 1 hour?
miskamm [114]

Answer:

110 pages

Step-by-step explanation:

The rate of 55 pg in 30 minutes is given in "minutes".

Thus,

we need to convert 1 hour to minutes.

We know 1 hour = 60 minutes

Note: 30 mins * 2 = 60 minutes

Logically, 30 minutes makes 55 pages, so 60 minutes (30 * 2) will make 55 * 2 = 110 pages

So, in 1 hour, it can print 110 pages (at this rate)

8 0
3 years ago
Alright, so I have a question that says this:
yKpoI14uk [10]
Octogon
sides=4
draw lines from the outside angles to the center so they form 8 equal triangle sections
find the area of each triangle and multiply by 8

area of triangle=1/2 base times height
base=4
the height is the distance from the center of one side of the octogon, to the center=5
so area=4 times 1/2 times 5=4 times 5=10

8 triangles so 8 times 10=80
the answer is 80cm^2
the diagram included below shows area for a pentagon

5 0
3 years ago
13/16=?/48 and 9/16=?/48 what are there numerators
laila [671]
The answer to this is 39 and 27
8 0
3 years ago
Other questions:
  • What is the product of two integers that equal -21
    14·2 answers
  • F
    7·1 answer
  • Students in classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices.
    8·1 answer
  • What number is 260 percent of 90?
    10·1 answer
  • A group of ten numbers totals -4. What is the average value of this group of numbers?
    15·1 answer
  • Write 240 as a product of primes. Use index notation where appropriate.
    10·1 answer
  • High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa
    11·2 answers
  • Which two values of x are roots of the polynomial below?<br>x²-11x+17<br>​
    11·2 answers
  • On see the inverse Nutrlicative meses have a product of 1. Find the multiplicative inverses of the terms in the first column Sho
    5·1 answer
  • Please help me with this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!