SOLUTION: A rectangle with sides of length a and a-9 has the same perimeter as a triangle with sides of length a+9, a+7, and a-2. Find the perimeter of the rectangle

Algebra.Com
Question 845621: A rectangle with sides of length a and a-9 has the same perimeter as a triangle with sides of length a+9, a+7, and a-2. Find the perimeter of the rectangle
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,

2a + 2(a-9) = a+9 + a+7 + a-2
2a + 2a - 18 = 3a + 14
a = 32
Perimeter of the tr1angle is = 41 + 39 + 30 = 110
CHECKING our answer***rectangle has the same perimeter as a triangle
64 + 46 = 110
Wish You the Best in your Studies.

RELATED QUESTIONS

find the area of a triangle with sides of length 7 and 9 and included angle of 72... (answered by Greenfinch)
A triangle has two sides of length 7 and 9. What value could the length of the third side (answered by edjones,CharlesG2,drk)
A triangle has two sides of length 7 and 9 what vaule could the length of the third side... (answered by josmiceli)
A triangle has two sides of length 7 and 9. What value could the length of the third side (answered by Alan3354)
A triangle has sides with lengths 6,11,and 14. Find the longest side of a similar... (answered by Fombitz)
A triangle has two sides of lengths 7 and 9. What value could the length of the third... (answered by MathLover1)
the lengths of the sides of a triangle are 18, 12, and 9 units. find the length of the... (answered by Fombitz)
Find the perimeter of a triangle with sides 12 inches, 9 inches, and 15... (answered by nerdybill)
Find the perimeter of a triangle with sides 12 inches, 9 inches, and 15... (answered by ikleyn)