Solve the Problem $T$ When the Width Is $1.1 \mathrm {~cm}$ And the Length Is

Multiple Choice

Solve the problem.
-A rectangular steel plate expands as it is heated. Find the rate of change of area with respect to temperature $T$ when the width is $1.1 \mathrm {~cm}$ and the length is $2.4 \mathrm {~cm}$ if $\mathrm { dl } / \mathrm { dt } = 1.9 \times 10 ^ { - 5 } \mathrm {~cm} / { } ^ { \circ } \mathrm { C }$ and $\mathrm { dw } / \mathrm { dt } = 8.5 \times 10 ^ { - 6 } \mathrm {~cm} / { } ^ { \circ } \mathrm { C }$ .

A) $1.6 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }$
B) $2.6 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }$
C) $2.1 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }$
D) $4.1 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }$