Answer:
9 and 14
Step-by-step explanation:
We know that the perimeter is equal to:
P = 2l + 2w = 46
If we divide by 2, we are left with:
l + w = 23
I = 23 - w
Now the area is equal to:
A = l * w = 126
l * w = 126
Now replacing it, we are left with:
(23 - w) * (w) = 126
(-w ^ 2) + 23 * w = 126
Rearranging:
w ^ 2 + -23 * w + 126 = 0
We factor and we have:
(w - 9) * (w - 14) = 0
w - 9 = 0 => w = 9
w - 14 = 0 => 2 = 14
If w = 9, l = 23 - 9 = 14
If w = 14, l = 23-14 = 9
So the dimensions are 9 and 14.
