Question 309470
The top of a right rectangular box has an area of 88cm^2
The sides have areas 32cm^2 and 44cm^2
 What are the dimensions of the box?
:
L*W = 88
:
L*H = 32
L = {{{32/H}}}
:
W*H = 44
W = {{{44/H}}}
:
Substitute for L & W in the 1st equation
{{{32/H}}} * {{{44/H}}} = 88
{{{1408/H^2}}} = 88
88H^2 = 1408
H^2 = {{{1408/88}}}
H^2 = 16
H = {{{sqrt(16)}}}
H = 4 cm is the height
:
L = {{{32/H}}}
L = {{{32/4}}}
L = 8 cm is the length
:
I'll let you find W using W = {{{44/H}}}