Answer:
5.6, 21.3
Step-by-step explanation:
Let x be the width.
We know that the length is 10+2x. The area of a rectangle is length times width, so substitute the values.
x*(10+2x)=120
10x+2x^2=120
Divide both sides by 2.
x^2+5x=60
Add 25/4 to both sides so we can make a square.
x^2+5x+
25/4=
60+25/4=265
/4
Factor the left side.
(x+
5
/2
)^2=
265
/4
x+2.5=(positive or negative) sqrt(265/4)
x=(positive or negative) sqrt(265/4)-2.5
But, we know that if the equation is negative, the width of the rectangle would be negative. Therefore, x=positive sqrt(265/4)-2.5
Then, we will find the sides.
sqrt66.25-2.5=5.63941, or about 5.6
10+(2(sqrt66.25-2.5))= 21.278821, or about 21.3
