SOLUTION: The perimeter of a rectangle is 66 centimeters. The length is twice the width. Find the length of the diagonal. Round to the nearest tenth

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 66 centimeters. The length is twice the width. Find the length of the diagonal. Round to the nearest tenth       Log On


   

Question 829785: The perimeter of a rectangle is 66 centimeters. The length is twice the width. Find the length of the diagonal. Round to the nearest tenth
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x length
w width

x=2w;
Perimeter information means 2x%2B2w=66
x%2Bw=33
2w%2Bw=33, when substituted for x.
3w=33
highlight%28w=11%29
'
x=2w
x=2%2A11
highlight%28x=22%29
'
The diagonal is hypotenuse of the triangle having sides 11 and 22.
Use Pythagorean Theorem:
h%5E2=11%5E2%2B22%5E2
h=sqrt%2811%5E2%2B22%5E2%29
h=sqrt%28121%2B484%29
h=sqrt%28605%29
highlight%28h=11%2Asqrt%285%29%29, the diagonal