<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>
Answer:
Step-by-step explanation:
4 2/3 = 14/3 x 3/3 = 42/9. 42/9 + 7/9 = 49/9. 49/9 = 5 4/9
42/9
In the same way as you could factor trinomials on the form of
<span><span><span>x2</span>+bx+c</span><span><span>x2</span>+bx+c</span></span>
You can factor polynomials on the form of
<span><span>a<span>x2</span>+bx+c</span><span>a<span>x2</span>+bx+c</span></span>
If a is positive then you just proceed in the same way as you did previously except now
<span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span></span>
<span><span>where c=mn,ac=pq </span><span>and b=p+q=am+<span>n</span></span></span>
22.5/3.5=6.4285 . You can round if needed
