<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0
Factorize using splitting the middle term method.
X^2 +16x-5x-80=0
x(x+16)-5(x+16)=0
(x-5)(x+16)=0
either x-5 = 0 or x+16=0
x=5 or x=-16
length and width measure cannot be negative.
Therefore, the extension of the length and width is 5 feet each.</span>
Let X = total students in musical
Then (1/3) X = number of seniors
1 + 6 + 11 + (1/3)X = X
18 + (1/3)X = X
18 = (2/3)X
(3/2)(18) = X
27 = X
27 students in musical of which one third are seniors,
there are 9 seniors in musical
hope this helped!
8x-5y=11
4x-3y=5
solution;
4(8x-5y=11)
8(4x-3y=5)
it becomes, [32x-20y=44
- [32x-24y=40
(32x-32x)+(20y--24y)=44-40
it becomes 20y+22y=4
44y=4, dividing by 44 on both sides, it becomes y=1/11
thus, y=1/11 but 4x-3y=5
4x=5+3y
4x=5+3/11
4x=55/11+3/11
4x=58/11, cross multiplying, it becomes. 44x=58
x=58/44
x=29/22
therefore, x=29/22 and y=1/11