Answer:
l = 16, w = 8
Step-by-step explanation:
Let l = length
Let w = width
Area = w * l
128 = w * l
w = 128/l
Perimeter = 2w + 2l
48 = 2w + 2l
48 = 2(128/l) +2l
48 = 256/l +2l
Multiply everything by l
48l = 256 + 2l^2
l^2 + 128 = 24l
l^2 + 128 -24l = 0
(l-16)(l-8)= 0
L = 16
L = 8
If you try them out, and test it, l = 16 would work:
2(16) + 256/16 = 48
32 + 16 =48
16 * 128/16 = 128
16 * 8= 128
128 = 128
Since I'm not sure if you are in advanced math or not, I will do it simple with guess and check
Try w is
