Question

Tia lives at the corner of 4th Street and 8th Avenue. Lei lives
at the corner of 12th Street and 20th Avenue. The fruit
market is the distance from Tia's home to Lei's home.

Answer 1

Answer:

B. At the corner of 10th Street and 17th Avenue.

Step-by-step explanation:

Answer 2

Distance from Tia's home to Lei's home is equal to $14.4$ units.

Distance between points $\boldsymbol{(x_1,y_1),(x_2,y_2)}$ is given by $\boldsymbol{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

Let street be along $x-$axis and avenue be along $y-$axis.

Tia lives at the corner of $4^{th}$ Street and $8^{th}$ Avenue.

So, Tia is at point $\mathbf{(4,8)}$

Lei lives  at the corner of $12^{th}$ Street and $20^{th}$ Avenue.

So, Lei is at point $\mathbf{(12,20)}$

Distance from Tia's home to Lei's home $=\boldsymbol{\sqrt{(12-4)^2+(20-8)^2}}$

                                                                  $=\boldsymbol{\sqrt{8^2+12^2}}$

                                                                  $=\boldsymbol{\sqrt{64+144}}$

                                                                  $=\boldsymbol{\sqrt{208}}$

                                                                  $=\boldsymbol{14.4}$ units

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