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
anyanavicka [17]
3 years ago
8

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side o

f the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the rectangle.

Mathematics
1 answer:
Nady [450]3 years ago
7 0
We have that
If you draw a diagram, and draw perpendiculars from the intersection to the sides of the rectangle, you will see they are the mid point of each side. 

see the attached figure

<span>If the mid point of the smaller side is ---------> x.
The mid point of the larger side will be -----------> (x + 4) </span>
The full length if the smaller side will be 2x and the length of the larger side will be 2(x + 4) = 2x + 8 

The perimeter = 2 times the length + 2 times the width. 
2(2x + 8) + 4x = 56 
4x + 16 + 4x = 56 
8x = 40 
x = 5 
Therefore 
length = 2x + 8 = 18cm 
<span>width = 2x = 10cm
</span>
the answer is
<span>the lengths of the sides of the rectangle are
</span>length = 18cm 
width = 10cm

You might be interested in
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
viva [34]

Answer:

<h2>(5,4)</h2>

Step-by-step explanation:

Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)

4 0
3 years ago
Read 2 more answers
Given: a = 9, c = 5, B = 120 <br><br> b=
Zinaida [17]
B = 120 because it is in your sum
6 0
3 years ago
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly a
denpristay [2]
As the liquid gets closer to the same temperature as the room, it cools down slower. If you put an glass of hot cocoa in a really cold room, it'll decrease really fast until it's around the same temperature as the room

3 0
3 years ago
Please answer! I’m desperate lol
WARRIOR [948]

Answer:

a

Step-by-step explanation:

just did this last period

8 0
3 years ago
Read 2 more answers
Select all the expressions equivalent to (4x⁵)(5x⁶).
Liula [17]

Step-by-step explanation:

= 4 {x}^{5}  \times 5 {x}^{6}

= (4 \times 5) {x}^{5 + 6}

= 20 {x}^{11}

3 0
3 years ago
Other questions:
  • What is 7/28 in simplest form?
    15·2 answers
  • Please help me thank youu
    15·1 answer
  • If two sides of a triangle are of measures 15 and 28, what is the range of possible values for the third side x?
    11·1 answer
  • The APR tells you how much you will pay for credit. True or False?
    10·1 answer
  • What is the value of the expression 1/2x(6x9x1)+15
    8·1 answer
  • Lcm of 4 , 8 , 12???
    6·2 answers
  • Ms. Cathy bought a package of pencils. Out of every 10 pencils, 8 are black. If there are 30 pencils in the pack, what fraction
    14·1 answer
  • What is the best type of sampling for a survey?
    10·1 answer
  • PLEASE ANSWER FAST TIMED TEST
    14·1 answer
  • I’m so confused, can somebody help me do this?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!