Question

I'm extremely confused

Answer 1

• x = 4, a = 15, b = 4

Explanation:

Find the value of x:

• P(triangle) = P(square)
• 3(x + 4) = 4(x + 2)
• 3x + 12 = 4x + 8
• 4x - 3x = 12 - 8
• x = 4

Find the value of a:

• P(hexagon) = 12x
• 6(1/2a + 1/2) = 12*4
• 3a + 3 = 48
• 3a = 45
• a = 15

Assumed b is the side of the rectangle (it is not indicated on the picture)

Find the value of b:

• A(rectangle) = A(square)
• (x + 2)² = b(a - 6)
• (4 + 2)² = b(15 - 6)
• 36 = 9b
• b = 4