Question

ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).

Answer 1

   
Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1)  = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2  
BD = 2(a+1) = 2(0 + 1) = 2 × 1 = 2

Ansver:   AC = BD = 2