SOLUTION: A rectangle is 2 cm longer than it is wide. The diagonal of the rectangle is 10 cm long. Find the perimeter of the rectangle.
Algebra.Com
Question 484586: A rectangle is 2 cm longer than it is wide. The diagonal of the rectangle is 10 cm long. Find the perimeter of the rectangle.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
n2+(n+2)2=(10)2
n2+n2+4n+4=100
2n2+4n-96=0
n2+2n-48=0
(n+8)(n-6)=0
n=6 or -8
The rectangle is 6 cm. by 8 cm.
2(6)+2(8)=P=28 cm
The perimeter is 28 cm..
RELATED QUESTIONS
A rectangle is 2 cm longer than it is wide, and its diagonal is 10 cm long. Find the... (answered by ikleyn)
A rectangle is 7 cm wide and 10 cm long. Find the length of a diagonal of the... (answered by oscargut)
A rectangle is 7 cm wide and 10 cm long. Find the length diagonal of the... (answered by jim_thompson5910)
the diagonal of a rectangle is 15 cm. long. If its length is 3 cm. longer than its width, (answered by ewatrrr)
The length of a rectangle is 1 cm shorter than the diagonal. The length is 2 cm longer... (answered by Boreal)
a rectangle is 3cm longer than it is wide. the diagonal is 15 cm. find the dimensions of... (answered by stanbon,TimothyLamb)
A rectangle is 7 cm wide and 12 cm long. Find the length of a diagonal of the... (answered by reviewermath)
A rectangle is 8 cm longer than it is wide. Find the dimensions of the rectangle if its... (answered by Grinnell,mananth)
A rectangle is three times longer than it is wide and the diagonal of it is 50 cm. How... (answered by Alan3354)