Out of 80 students in class 20% were absent find out how many students were present
2 answers:
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Answer:
The length of the rectangle is 6 feet
Step-by-step explanation:
Given as :
The length of rectangle is 1 feet less than twice the width
So, let The width of rectangle = w feet
The length of rectangle = ( 2 w - 1 ) feet
The area of the rectangle = 21 feet²
Now,
∵ The area of the rectangle = length × width
Or, 21 feet² = ( 2 w - 1 ) feet × w feet
or, 21 = 2 w² - w
or, 2 w² - w - 21 = 0
or, 2 w² + 6 w - 7 w - 21 = 0
or , 2 w ( w + 3 ) - 7 ( w + 3 ) = 0
or, ( w + 3 ) ( 2 w - 7 ) = 0
So, w = - 3 feet , feet
here we consider only positive value of w i.e feet
∴ The length of rectangle = ( 2 w - 1 ) feet
or, The length of rectangle = 2 × - 1
Or, The length of rectangle = 7 - 1 = 6 feet
Hence The length of the rectangle is 6 feet , Answer
Here three sides of a right angled triangle given.
The three sides are b, 8 and 14.
The side with length 14 is the hypotenuse here. We have to find the side of length b.
To get b, we will use Pythagoras theorem here.
By using Pythagoras theorem we can write,
, where c is the hypotenuse.
So here we can write,
To solve it for b, now we have to move 64 to the left side by subtracting it from both sides.
Now to find b, we have to take square root to both sides. We will get,
We have got the required answer for the side b.