Question

in a square ABCD, AB = (5a-17) cm and BC = (2a+4) cm, then find AD​

Answer 1

Answer:

AD = 18cm

Step-by-step explanation:

We know that the 4 sides of a square are always equal.

So,

AB = BC = CD = DA

∴ AB = BC

∴ (5a - 17) = (2a + 4)

5a - 2a = 4 + 17

3a = 21

∴ a = $\frac{21}3$

a = 7

∴ BC = (2a + 4)cm

         = [2(7) + 4]cm

         = (14 + 4)cm

   BC = 18cm

Since AB = BC = CD = AD,

∴ AD = BC = 18cm