what is the answers
a)
40 - x metre
b)
Length of side of square made by the rope of x metre: x / 4 metre
Length of the side of the other square: (40 - x) / 4 metre
c)
(x / 4)2 + ((40 - x) / 4)2 = 58
d)
(x / 4)2 + ((40 - x) / 4)2 = 58
(x2 / 16) + ((1600 - 80x + x2) / 16) = 58
(x2 + 1600 - 80x + x2) / 16 = 58
(2x2 + 1600 - 80x) / 16 = 58
2x2 - 80x + 1600 = 58 imes 16 = 928
2x2 - 80x + 1600 = 928
2x2 - 80x = 928 - 1600
2x2 - 80x = -672
x2 - 40x = -672 / 2
x2 - 40x = -336
x2 - 40x + 400 = -336 + 400
(x - 20)2 = 64
x - 20 = \sqrt{64}
x - 20 = \pm 8
x = 8 + 20
x = 28
OR
x = - 8 + 20
x = 12
herefore\ Lengths of the pieces are 12 m and 28 m.
40 - x metre
b)
Length of side of square made by the rope of x metre: x / 4 metre
Length of the side of the other square: (40 - x) / 4 metre
c)
(x / 4)2 + ((40 - x) / 4)2 = 58
d)
(x / 4)2 + ((40 - x) / 4)2 = 58
(x2 / 16) + ((1600 - 80x + x2) / 16) = 58
(x2 + 1600 - 80x + x2) / 16 = 58
(2x2 + 1600 - 80x) / 16 = 58
2x2 - 80x + 1600 = 58 imes 16 = 928
2x2 - 80x + 1600 = 928
2x2 - 80x = 928 - 1600
2x2 - 80x = -672
x2 - 40x = -672 / 2
x2 - 40x = -336
x2 - 40x + 400 = -336 + 400
(x - 20)2 = 64
x - 20 = \sqrt{64}
x - 20 = \pm 8
x = 8 + 20
x = 28
OR
x = - 8 + 20
x = 12
herefore\ Lengths of the pieces are 12 m and 28 m.