The Area of a Rectangular Lot $120 \mathrm {~m}$ By $90 \mathrm {~m}$

Multiple Choice

The area of a rectangular lot $120 \mathrm {~m}$ by $90 \mathrm {~m}$ is to be increased by $7,200 \mathrm {~m} ^ { 2 }$ . (See the figure below.) The length and the width will be increased by the same amount. What are the dimensions of the larger lot?

A) $150 \mathrm {~m} \times 180 \mathrm {~m}$
B) $170 \mathrm {~m} \times 200 \mathrm {~m}$
C) $110 \mathrm {~m} \times 200 \mathrm {~m}$
D) $120 \mathrm {~m} \times 150 \mathrm {~m}$
E) $90 \mathrm {~m} \times 120 \mathrm {~m}$