4x - 1 = side of square 2x + 1 = length of rectanglex + 2 = width of rectangleSince their perimeters are equal, 4(4x - 1) = 2(2x + 1) + 2(x + 2) 16x - 4 = 4x + 2 + 2x + 410x = 10x = 1If we plug 1 in for x,Each side of the square is 4(1) - 1 = 3The perimeter is thus 12 The length of the rectangle = 2(1) + 1 = 3The width of the rectangle is 1 + 2 = 3The perimeter is this 2(3) + 2(3) = 12 So x = 1 is the verified.
hope this helps! (:
A & D are the correct answers!
I’m pretty sure 30 because you multiply 10x3 I’m sorry if I’m wrong I haven’t done Surface Area in a long time
Term of rank n in a G.P: a₅ = arⁿ⁻¹
a₂ = a₁.r²⁻¹ = a₁.r = - 24
a₅ = a₁.r⁵⁻¹ = a₁.r₄ = 1536 ↔ a₁.r x r³ = 1536, but a₁.r = - 24
then: (-24) x r³ = 1536
r³ = (1536)/(-24) and r³ = - 64³ and r = ∛- 64 = r and r = -4
If r = -4 then a₁ =6 and the equation becomes :
a₅ =a₁r⁴ or a₅ =6(-4)⁴