Answer:
queen's width = 60 in
queen's length = 80 in
king's width = 76 in
king's length = 80 in
Step-by-step explanation:
-queen's wide = ???
-same length = queen's wide + 20
king size:
-king's wide = queen's wide + 16
-same length = queen's wide + 20
queen's area = x
king's area = x + 1280
area = width * length
let's call queen's width and king's width "qw" and "kw" respectively
let's call queen's length and king's length "ql" and "kl" respectively
Q area:
qw * (qw + 20)
qw² + 20qw = x
K area:
(qw + 16) * (qw + 20) = x + 1280
qw² + 36qw + 320 = qw² + 20qw + 1280
qw² - qw² + 36qw - 20qw = 1280 - 320
16qw = 960
qw = 960 / 16
qw = 60
ql = 60 + 20
ql = 80
kw = 60 + 16
kw = 76
kl = ql
kl = 80
