Width= W
length=2w+11
diagonal=2w+13
use the Pythagorean Theorem
(2w+13)^2=w^2+(2w+11)^2
4w^2+52w+169=w^2+4w^2+44w+121
simplify
52w+169=w^2+44w+121
w^2+44w-52w-169+121=0
w^2-8w-48=0
factor
(w-12)(w+4)=0
w-12=0
w=12 inches (width)
l=2*12+11=35 inches (length)
Answer:
www.Anwers/Mathematics/
Step-by-step explanation:
Answer:
7x+6x
Step-by-step explanation:
Distributive property. 7 times x = 7x. 6 times x = 6x
Perimeter = (2 × Length) + (2 × Width)
If the length is dependent on the width (because the length is 10 more than the width), we can say that L = W + 10.
To find the answer to the Peri, we have to find out what the W is first.
184 = 2(W + 10) + 2W
184 = 2W + 20 + 2W
184 = 4W + 20
184 - 20 = 4W = 164
164 ÷ 4 = W
41 = W
We have found out width. Our length is W + 10, so L = 41 + 10 = 51
W = 41 and L = 51
