The present dimensions are : length = 12 feet
width = 9 feet
Area = 12* 9 = 108 feet squared
If the dimensions are increased by x feet the dimensions are :
length = 12 + x
width = 9+ x
Area = ( 12+x)( 9+x)
new area = initial area * 2
( 12+ x)( 9+ x) = 2 * 108
12*9 + 12x + 9x + xx = 216
108 + 21 x + x^2 = 216
x^2+ 21x = 216-108
x^2 + 21x = 108
x^2 + 21x -108 = 0
let us plug a= 1 b= 21 c= -108 in quadratic formula
x= [-21 + / - ( 21^2 - 4* 1 * -108 )^(1/2 ]/ 2* 1
x= 4.27
Answer :
Both sides are increased by 4.27 feet .
It is 7
2*2x = 4x + 2 = 30
4x = 28
x = 7
Answer:
A) 
Step-by-step explanation:
Area of a trapezoid is 

There are 1,16,280 different recital programs possible.
Given: A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces and is carefully considering which song to play first, second, etc.
It means the repetition of pieces is not allowed.
When repetition is not allowed, then the number of ways to arrange n things where r things taken together is given by:-

Now, the number of different recital programs are:-

Hence, there are 1,16,280 different recital programs possible.
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Answer:
13/100 have pet fish
Step-by-step explanation:
6/10 = 60/100
60/100 + 27/100 = 87/100 have cats and dogs
that leaves 13/100 have pet fish