Answer:
- width: 33 cm
- length: 45 cm
Explanation:
Let W and L represent the width and length (in cm), respectively. The perimeter length is twice their sum, so we have ...
2(W +L) = 156
W = L -12
Substituting the second equation into the first, we have ...
2(L -12 +L) = 156
4L -24 = 156 . . . . . . . simplify
4L = 180 . . . . . . . . . . .add 24
L = 45 . . . . . . . . . . . . divide by 4
W = 45 -12 = 33 . . . . use the expression for W to find its value
The width is 33 cm, and the length is 45 cm.