solve the problems below.Show your complete solution for each number
1.The area of a square is represented by 36a^2 + 84ab + 49b^2. Determine an expression for the perimeter of the square.
2.A square garden has the area 4x^2 - 12x + 9 square units.Find the side of the garden if x=15.
3.Solve for the surface area of a cube when the one side measures (x + 4y) cm.
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Verified answer
1. A(square) = s²s² = 36a²+84ab+49b²
s² = (6a+7b)²
s = 6a+7b
P = 4s
P = 4(6a+7b)
P = 24a+28b units
2. A = 4x²-12x+9
s² = 4x²-12x+9
s² = (2x-3)²
s = 2x-3
s(15) = 2(15)-3 = 30-3 = 27 units
3. SA = 6(x+4y)²
= 6(x²+8xy+16y²)
= 6x²+48xy+96y²