Question

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-third, 7 and one-third). What is the distance from Layana’s home to the store?

Answer 1

SOLUTION

GIVEN

Layana’s house is located at

$\displaystyle \sf{ \bigg( \: 2 \frac{2}{3} \: , \: 7 \frac{1}{3} \bigg)}$

on a map. The store where she works is located at

$\displaystyle \sf{ \bigg( \: - 1 \frac{1}{3} \: , \: 7 \frac{1}{3} \bigg)}$

TO DETERMINE

The distance from Layana’s home to the store

EVALUATION

Here it is given that

Layana’s house is located at

$\displaystyle \sf{ \bigg( \: 2 \frac{2}{3} \: , \: 7 \frac{1}{3} \bigg)}$

The store where she works is located at

$\displaystyle \sf{ \bigg( \: - 1 \frac{1}{3} \: , \: 7 \frac{1}{3} \bigg)}$

$\displaystyle \sf{ So \: the \: ordinate \: of \: both \: the \: points \: is \: = 7 \frac{1}{3} }$

So the required distance

$\displaystyle \sf{ = \sqrt{{\bigg( \: 2 \frac{2}{3} \: + \: 1 \frac{1}{3} \bigg) }^{2} +{\bigg( \: 7 \frac{1}{3} \: - \: 7 \frac{1}{3} \bigg) }^{2} } }$

$\displaystyle \sf{ = \sqrt{{\bigg( \: \frac{8}{3} \: + \:\frac{4}{3} \bigg) }^{2} +{(0)}^{2} } }$

$\displaystyle \sf{ = \sqrt{{\bigg( \: \frac{12}{3} \: \bigg) }^{2} } }$

$\displaystyle \sf{ = \sqrt{{ {(4)}^{2} }} }$

$\displaystyle \sf{ = 4 \: \: unit }$

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