Answer:
Hi there!
Your answer is;
the equation
(w+6)+(w+6)+(w)+(w) = 52
The width of this rectangle is 10. The length of this rectangle is 16.
Step-by-step explanation:
Rectangular perimeter:
l+l+w+w
l= w+6
w= w
(w+6)+(w+6)+(w)+(w)
4w+12= 52
4w = 40
/4
w= 10
Hope this helps!
quadratic formula:
x = <u>-b ± √(b² - 4ac)</u>
2a
7x² - x = 7
subtract 7 from both sides:
7x² - x - 7 = 0
plug values into the quadratic formula:
x = <u>-(-1) ± √((-1)²- 4(7)(-7))</u>
2(7)
simplify:
x = <u>1 ± √(197)</u>
14
I like to use Desmos Graphing Calculator. The attachment is what I get when I plug the inequalities in.
Pythagorean theorem:
a^2+b^2=c^2
substitute:
10^2+13^2=c^2
100+169=c^2
269=c^2
take the square root:
c=16.4
The answer is 16.4