Question

the rectangle on the grid is a scale drawing of a stadium. the scale factor is 1 centimeter to 20 meters. for a, enter the area of the rectangle in square centimeters. for b, enter the area of the stadium in square meters. a. square centimeters b. square meters

Explanation:

Step1: Determine the length and width of the rectangle on the grid (in cm)

Looking at the grid, let's assume the rectangle has a length of 5 cm and a width of 3 cm (by counting the grid squares, assuming each grid square is 1 cm).

Step2: Calculate the area of the rectangle (in square cm)

The formula for the area of a rectangle is \( A = length \times width \). So, \( A = 5 \times 3 = 15 \) square centimeters.

Step3: Determine the scale factor conversion for area

Since the scale factor is 1 centimeter to 20 meters, for area, the scale factor is \( (20)^2 = 400 \) (because area is a two - dimensional measurement).

Step4: Calculate the area of the stadium (in square meters)

We know the area of the scale drawing (rectangle) is 15 square centimeters. To find the area of the actual stadium, we multiply the area of the scale drawing by the square of the scale factor. So, \( 15\times400 = 6000 \) square meters.

Answer:

A. 15 square centimeters
B. 6000 square meters