Question

The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−2, 2) and goes to Q(5, 2). It goes from Q to R(5, −5) and then to S(8, −5). What is the total length (in units) of the biking trail?

Answer 1

Answer:

17 units

Step-by-step explanation:

if u just want a simple answer then yes 17 units

Answer 2

Answer:

The total length (in units) of the biking trail is 17 units.

Step-by-step explanation:

o find distance between points A(x¹, y¹) and B(x², y²), we use formula:

$d = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

The trail starts at P(−2, 2) and goes to Q(5, 2).

So, the distance PQ will be calculated as:

$PQ = \sqrt{(5^{}-(-2)^{})^{2}+(2^{}-2^{})^{2}$

$PQ = \sqrt{(49^{}+0)$

PQ = 7 units

Then the trail goes from Q(5, 2) to R(5, −5).

So, the distance QR will be calculated as:

$QR = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

$QR = \sqrt{(5^{}-5^{})^{2}+(-5^{}-2^{})^{2}$

QR = 7 units

And then from R(5, −5) to S(8, −5).

$RS = \sqrt{(8^{}-5^{})^{2}+(-5^{}-(-5)^{})^{2}}$

QR = 3 units

Hence, the total length of the biking trail is:

                               PQ + QR + QR = 7 + 7 + 3 = 17 units

Keywords: distance formula, length

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