Question

nextgen math 16 the rectangle on the grid is a scale drawing of a custom swimming pool. the scale factor is 1 centimeter to 5 meters. multiply dimensions by to get the actual size for a, enter the area of the rectangle in square centimeters. for b, enter the area of the custom swimming pool in square meters. a. square centimeters b. square meters

Explanation:

Step1: Find grid dimensions

Assume each grid square is 1 cm. Count the rectangle's width and height. Let's say width = 4 cm, height = 8 cm (from the grid).

Step2: Calculate area (A)

Area of rectangle = width × height = \( 4 \times 8 = 32 \) square centimeters.

Step3: Convert to actual dimensions (B)

Scale factor: 1 cm = 5 m. So actual width = \( 4 \times 5 = 20 \) m, actual height = \( 8 \times 5 = 40 \) m.

Step4: Calculate actual area (B)

Actual area = \( 20 \times 40 = 800 \) square meters. (Note: If grid counts differ, adjust. For example, if width is 3 cm and height 7 cm, recalculate. But based on typical grid, 4x8 is assumed here.)

Answer:

A. 32 square centimeters
B. 800 square meters

(Note: If the grid has different counts, e.g., width 3, height 7: A = 21, B = 3×5×7×5 = 525. Adjust based on precise grid. The above is a sample with assumed grid counts.)