What is the range of possible sizes for side x?
2 answers:
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Answer:
Area of a square is length * length
Area of a rectangle is length * breadth
In the question, the area of the square is 36
And the area of the rectangle is the area of the square
To find the area of the rectangle, multiply 1(1/3) by the area of the square(36)
Area of rectangle becomes, 1(1/3) * 36 = (4/3) * 36 = 48cm2
To find the perimeter of the shape, we must find the perimeter of the rectangle - perimiter of the square
Since area of square is length * length, the length of the square is 6cm
The breadth of the rectangle is equal to the length of the square, hence, b = 6cm
Since, length * breadth = 48
l * 6 = 48
l = 8
Perimeter of the shape = 4 * perimeter of rectangle - perimter of square
Perimeter of rectangle = 2(l+b)
Perimeter of sqaure = 4l
Our answer = 4 * 2(6+8) - 4(6)
= 4 * 28 - 36
= 88cm
Step-by-step explanation:
Given:
A train travels 288 km at a uniform speed.
If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
To find:
The initial speed of the train.
Solution:
Let x km/h be the initial speed on the train.
New speed of train = (x+4) km/h
We know that,
Time taken by the train initially to cover 288 km is hours.
New time taken by the train to cover 288 km is hours.
It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
Splitting the middle term, we get
We know that the speed cannot be negative. So, the only possible value of x is 32.
Therefore, the speed of the train is 32 km/h.