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
satela [25.4K]
3 years ago
15

9. The figure shows a rectangle with its length and

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

You might be interested in
Please please help! I will give brainliest if I can, to whoever answers the best!
____ [38]

Answer: D) y = 0.5x - 3

Step-by-step explanation: y = mx + b, m = slope, b = y intercept

7 0
3 years ago
A pizza place offers 3 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 top
svetlana [45]
You have to choose 1 sort of cheese from 3 ( 3 ways ). Also you have to choose 3 toppings from 12 different toppings:
12 * 11 * 10 = 1,320 ways.
In total: 3 * 1,320 = 3,960
Answer:
In 3,690 ways can pizza be made with 1 cheese and 3 toppings.
3 0
3 years ago
If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3
horrorfan [7]

Answer:  The correct option is (B) 24 : 25.

Step-by-step explanation:  Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Therefore, the ratio of the area of R to the area of S is

\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0
3 years ago
Carla earns $13 an hour cleaning house. How much will she earn if she works from 8:00 to 2:00?
Andreyy89
8pm to 2am, or 8am to 2pm, either way, Carla would've worked for 6 hours.

6*$13=$78

-----------

Carla would earn $78 if she were to clean for 6 hours.
4 0
2 years ago
Read 2 more answers
PLEASE ANSWER ASAP
SOVA2 [1]

Answer:

x - 2 ≥ 0

Step-by-step explanation:

The expression under the square root cannot be negative, thus

x - 2 ≥ 0 , that is

x ≥ 2

4 0
3 years ago
Other questions:
  • You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the
    7·1 answer
  • Find the inverse of the following f(x)=-3x^2+3 X>0
    13·1 answer
  • Identify the like terms in this expression: 4x^2 + 2x - 6x + 3y
    9·1 answer
  • Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered t
    12·1 answer
  • Order the integers from least to greatest. 6,11,16,-8,-5
    10·2 answers
  • -2 (3x - 5) = - 6x + b
    15·2 answers
  • Please help me please
    6·1 answer
  • Corey had 13 out of 15 answers correct on his math test.
    9·1 answer
  • HELP:( I know I’m slow and all asking all these question today but...
    13·1 answer
  • Exercice 1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!