Answer:
Umm….. I really don’t know……..
Step-by-step explanation:
Sorry…..
Answer: x=12
Step-by-step explanation:
The sum of the angles of the triangle is 180°:
Divide both parts of the equation by 4:
Answer: 9 rolls of cloth A and 44 roles of cloth B
Step-by-step explanation:
Let x represent the number of rolls of cloth A that can be dyed and dried.
Let y represent the number of rolls of cloth B that can be dyed and dried.
A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that
50x + 55y = 2880- - - - - - - -1
A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that
45x + 30y = 1740- - - - - - - -2
Multiplying equation 1 by 45 and equation 2 by 50, it becomes
2250x + 2475y = 129600
2250x + 1500y = 87000
Subtracting, it becomes
975y = 42600
y = 42600/975
y = 44
Substituting y = 44 into equation 1, it becomes
50x + 55 × 44 = 2880
50x + 2420 = 2880
50x = 2880 - 2420
50x = 460
x = 460/50
x = 9
You need to do this in several steps.
1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
