We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.
√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30
Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches
Answer = 120 inches
Set the width to be x. Thus, the length is 4x.
The perimeter is 2(x+4x)=100, so x=10.
Plugging in x=10, you get that 4x=40.
So, the area of the rectangle is 400 
.
Because there are 100 centimeters in a meter and you are asking for area, you must multiply by 
to get 4000000 
.
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144
The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95
If you subtract it from the area of the square, you will get : 144 - 95 = 49.
So the answer is : the area of the square is 49 units largee than the area of the square (C)
Answer:
1) No
2) No
3)Yes
4)No
Step-by-step explanation:
Distributive property: a(b + c) =a*b + a*c
1) 4(5c + 3) = (4*5c) + 4*3
= 20c + 12
NO
2) 2(8f - 5) = (2*8f) - (2*5)
= 16f - 10
NO
3) 3(4g + 7) = (3*4g) + (3*7)
= 12g + 21
YES
4) 6(4j - 6) =(6 * 4j) - (6*6)
= 24j - 36
NO
This chart represents a proportional relationship. The rate of change will be 4.
<h3>What is the constant of proportionality?</h3>
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
Given;
x y
1 4
2 8
3 12
4 16
Here, x = ky
put the first value
k = 1/4
This chart represents a proportional relationship.
So the rate of change will be
Learn more about proportional ;
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