Step-by-step explanation:

Answer:
y = 12
Step-by-step explanation:
∵ m∠ABC = 40
∵ BD ray is the bisector of ∠ABC
∴ m∠ABD = m∠CBD = 20
In 2 Δ BAD and BCD:
∵ m∠BAD = m∠BCD = 90°
∵ m∠ABD = m∠CBD = 20°
∵ BD is a common side in the two triangles
∴ ΔABD congruent to ΔCBD⇒(AAS)
∴ AD = CD
∴ 3y + 6 = 5y - 18
∴ 5y - 3y = 6 + 18
∴ 2y = 24
∴ y = 24/2 = 12
Lets consider the side of square be 'x' units
So as per data,
Length of rectangle is x+5
Breadth of rectangle is x/2
and also as per data, the areas of rectangle and square are equal.
Area of rectangle = Length * Breadth = (x+5)*x/2 =

<- equation1
Area of square = Side* Side= x*x =

<- equation2
As per given data, Equation1 and equation 2 are equal
so

= tex] x^{2} [/tex]



x = 5
So the side of square = 5 units
For Square, both dimensions are equal.
The answer would be (18+45m) because you have to multiply the 9 to the 2 which equals 18 and then do the same for the 5m and which would be 45 because you add the variable at the end