Question

the rectangle on the grid is a scale drawing of a national park. the scale factor is 1 centimeter to 5 meters. for a, enter the area of the rectangle in square centimeters. for b, enter the area of the national park in square meters. a. square centimeters b. square meters

Explanation:

Part A: Area in square centimeters

Step1: Determine length and width

Assume each grid square is 1 cm. From the grid, the blue rectangle (national park drawing) has length 4 cm and width 4 cm (since it spans 4 grid squares in both length and width, assuming it's a square - shaped rectangle here).

Step2: Calculate area

The formula for the area of a rectangle is $A = l\times w$. Substituting $l = 4$ cm and $w = 4$ cm, we get $A=4\times4 = 16$ square centimeters.

Part B: Area in square meters

Step1: Convert scale to actual length

The scale factor is 1 cm to 5 meters. So, 1 cm on the drawing represents 5 meters in reality. The length of the drawing is 4 cm, so the actual length $L=4\times5 = 20$ meters. Similarly, the actual width $W = 4\times5=20$ meters (since it's a square - shaped rectangle in drawing, so same in reality).

Step2: Calculate actual area

Using the area formula for a rectangle (or square, since $l = w$) $A = L\times W$. Substituting $L = 20$ m and $W = 20$ m, we get $A = 20\times20=400$ square meters.

Answer:

A. 16 square centimeters
B. 400 square meters