The scale of a square map indicates that each inch on the map corresponds to 5 miles.

Write an expression that describes the area of land shown on the map.

If the map is 8 inches on one side, what is the area of land shown on the map?

If x is the number of inches then the area is A = (5x)^2 So if x is 8 the area is (5*8)^2 = 1600 square miles

Answered by DreamerChick | 2024-06-10

To write an expression that describes the area of land shown on a map when each inch corresponds to 5 miles, we can use the formula for the area of a square (A = s2), where s is the length of one side. Since the map has a scale of 1 inch to 5 miles, we need to convert the map measurements to real-world distances. If one side of the map is 8 inches, we multiply this by the scale factor (8 inches imes 5 miles/inch) to get the real-world length of one side of the area represented by the map, which is 40 miles. This value is squared to find the area, so the expression to describe the area of land shown on the map is A = (8 imes 5)2, or A = 402, which equals 1,600 square miles. Therefore, the map shows an area of 1,600 square miles of land.

Answered by Qwshop | 2024-06-24

The area described by the square map where each inch corresponds to 5 miles is given by the expression A = ( 5 x ) 2 . For an 8-inch side, the area results in 1600 square miles. Thus, the map represents an area of 1600 square miles of land.
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Answered by DreamerChick | 2024-12-20