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
Sever21 [200]
3 years ago
13

A square of area 36cm is cut to make two rectangles a and b the ratio of area a to b is 2:1 work ou the dimensions of rectangles

a and b
Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

The dimensions of rectangle a are 6x4 and dimensions of rectangle b are 6x2.

Step-by-step explanation:

We are given a square with area 36 squared cm. Therefore, dimension of the square will be 6 cm.

The square is cut into two rectangles with areas in the ratio 2:1.

Let the dimensions of the rectangles be 6*a and 6*b. Therefore, we can set up the ratio of areas as:

\frac{6a}{6b}=\frac{2}{1}  \\a=2b

Moreover, we can set the combined area of rectangles equal to the area of square to form another equation:

6a+6b=36\\a+b=6

Using substitution method, we can solve for 'a' and 'b' as shown below:

2b+b=6\\3b=6\\b=2

And

a=2b\\a=2(2)\\a=4

Therefore, dimensions of the two rectangles are 6x4 and 6x2, respectively.

You might be interested in
A line has this equation: x + 10y = 60
Jet001 [13]

Answer:

y=10x+99

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.

6 0
2 years ago
(x+4)(x+11)=0 <br> what do i do
Talja [164]
FOIL first outer inner last it’s distribution
8 0
3 years ago
Read 2 more answers
Which rule can be used to find the output numbers in this table
jekas [21]
An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is multiply each input number
6 0
2 years ago
4{3sqaured+4(116-8(2×8))} I need to know ASAP it 9:30 where I live pls hwlp
inysia [295]
Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856
3 0
2 years ago
(2g+9h-5)-(6g-4h+2)<br><br>g=-2<br>h=5
xxTIMURxx [149]
(2(-2)+9(5)-5)-(6(-2)-4(5)+2)
(-4+45-5)-(-12-20+2)
(45-9)-(-32+2)
36+30
66
3 0
3 years ago
Read 2 more answers
Other questions:
  • If, in a quadratic equation, the values of a and c have opposite signs, the solutions of the equation are real numbers.
    6·1 answer
  • Hellllllllłllllllllllllllllllllllllllllllllllpp
    14·2 answers
  • Solve to find the value of x.
    7·1 answer
  • Solve by factorisation<br> 2x2 + 3x - 20 = 0
    7·1 answer
  • Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe
    9·1 answer
  • Please help with this as soon as possible​
    9·2 answers
  • Solve 3.4m = 204<br> The solution is m
    9·1 answer
  • What degree would be classified as an obtuse angle but is close to being a straight line
    7·1 answer
  • What is the solution
    10·1 answer
  • Order the numbers from greates to least.<br><br><br> 12.012 12.001 12.102 12.01
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!