Answer:
8 x 4
Step-by-step explanation:
Lets say the length is x and the width is y.
xy = 32
2x + 2y = 24
Rearranging the second equation, we get:
2x = 24 - 2y
/2 /2
x = 12 - y
substitute into the first equation
y(12 - y) = 32
12y - y^2 = 32
-32 -32
-y^2 +12y - 32 = 0
x -1 x -1
y^2 - 12y + 32 = 0
(y - 8)(y - 4) = 0
y = 8 or 4
substitute into x = 12 - y.
x = 12 - 8 = 4
x = 12 -4 = 8
so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.
Hope I helped!
