Answer:
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Step-by-step explanation:
Let
Length = x
Width = y
Original rectangle:
2(Length + width) = 60
2x + 2y = 60
New rectangle has same length with original rectangle but half of the width of the original rectangle when folded
Length = x
Width = 1/2y
2(Length + 1/2width) = 49
2x + y = 49
2x + 2y = 60 (1)
2x + y = 49 (2)
Subtract (2) from (1) to eliminate x
2y - y = 60 - 49
y = 11
Substitute y = 11 into (2)
2x + y = 49
2x + 11 = 49
2x = 49 - 11
2x = 38
x = 38/2
x = 19
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Answer:
<em>The field is 1 and 4/10 mile long.</em>
Step-by-step explanation:
If I understand the question:
(1/2) + (9/10) =
(5/10) + (9/10) = (14/10)
(14/10) is 1 and 4/10
The field is 1 and 4/10 mile long.
Answer:
Step-by-step explanation:
Let the Number of students in the Robotics club be x
So , the number of students in the Science club must be x+12
(Because it is given that the science club have 12 more students.)
Total number of students = 84
So ,
x+(x+12)=84
combining the like terms we get
2x+12=84
Subtract 12 from both sides
2x=72
Divide both sides by 2
x=36
So ,
Number of students in the Robotics club = 36
Number of students in the Science club =36+12 = 48
In order to solve the problem above, represent the width by x. With this, the length of the rectangular portrait is 1.5x. The perimeter of the rectangle is two times the sum of the length and width. This translates to,
2 (1.5x + x) = 10 ft, x = 2 ft.
Thus, the length of the rectangular portrait is 3 ft.
