Question 5 (1 point) Choose the answer. On a 120:1 scale model floor-plan the kitchen has a length of 3.5 cm and a width of 2.5 cm. What is the area of the actual kitchen in square meters?

To find the area of the actual kitchen in square meters, we need to follow these steps:Step 1: Calculate the area of the scale model kitchen in square centimeters.Step 2: Convert the scale model dimensions to actual dimensions using the scale factor.Step 3: Calculate the area of the actual kitchen in square meters.Let's go through these steps:Step 1: Calculate the area of the scale model kitchen.Area (scale model) = Length (scale model) × Width (scale model)Area (scale model) = 3.5 cm × 2.5 cmArea (scale model) = 8.75 cm²Step 2: Convert the scale model dimensions to actual dimensions.The scale is 120:1, which means that every 1 cm on the model represents 120 cm in reality.Actual length = Length (scale model) × Scale factorActual length = 3.5 cm × 120Actual length = 420 cmActual width = Width (scale model) × Scale factorActual width = 2.5 cm × 120Actual width = 300 cmStep 3: Calculate the area of the actual kitchen in square meters.First, we need to convert the dimensions from centimeters to meters since 1 meter = 100 centimeters.Actual length in meters = Actual length in centimeters / 100Actual length in meters = 420 cm / 100Actual length in meters = 4.2 mActual width in meters = Actual width in centimeters / 100Actual width in meters = 300 cm / 100Actual width in meters = 3 mNow, calculate the actual area:Area (actual) = Actual length in meters × Actual width in metersArea (actual) = 4.2 m × 3 mArea (actual) = 12.6 m²Answer:The area of the actual kitchen is 12.6 square meters.