Final answer:
To find the actual area of the space for Joseph's new grill in square inches, we need to convert the scale of 2 cm for every 5 inches to the actual measurements in inches. The correct answer is D. 50 square inches.
Step-by-step explanation:
To find the actual area of the space for Joseph's new grill in square inches, we need to convert the scale of 2 cm for every 5 inches to the actual measurements in inches. We can do this by setting up a ratio: 2 cm/5 inches = x cm/1 inch, where x is the actual length in inches. Cross-multiplying gives us 5x = 2, and solving for x gives us x = 2/5 cm per inch.
Now that we have the scale factor, we can calculate the actual area of the space for Joseph's new grill. Let's say the length of the grill on the scale drawing is L cm. The actual length in inches is L * (2/5) inches. Similarly, the width of the grill on the scale drawing is W cm, and the actual width in inches is W * (2/5) inches.
The actual area in square inches is then A = (L * W * (2/5) * (2/5)) = (4/25) * L * W. Since we don't have the specific dimensions of the grill, we cannot determine the exact value of the actual area, but it will be in square inches. Therefore, the correct answer is D. 50 square inches.