CAR WASH To raise money for their rowing club, Halima, Aisha, and Fatima are advertising a car wash at three different street corners in a neighborhood.
On a map, the coordinates for the corners are (3, 15), (6,4), and (11, 9). Each unit
represents 0.5 kilometer. What is the area of the neighborhood in which they are
advertising?

The area of the neighborhood in which they are advertising is 8.75 km²

Step-by-step explanation:

The coordinates of the street corners are;

(3, 15), (6, 4) and (11,9)

Therefore;

The distance between each street corner are found using the following formula;

Substituting, using an online tool, we find the distances;

Between (3, 15) and (6, 4), d = √32.5 km

Between (6, 4) and (11,9), d = √12.5 km

Between (3, 15) and (11,9), d = 5 km

The area is given by Heron's formula as follows;

Where;

s = (√32.5 + √12.5 + 5)/2

a = √32.5

b = √12.5

c = 5

Substituting (using an online tool) the values gives;

A = 8.75 km²

The area of the neighborhood in which they are advertising is 8.75 km²

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step-by-step explanation: