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neonofarm [45]
3 years ago
12

Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the len

gth than the width? A) 1 unit B) 2 units C) 3 units D) 4 units

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

Correct choice is A

Step-by-step explanation:

Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).

Find the length and the width:

AC=\sqrt{(-1-(-1))^2+(5-1)^2}=4\ units,\\ \\AD=\sqrt{(2-(-1))^2+(5-5)^2}=3\ units.

Then the length is 1 unit longer than the width.

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Step-by-step explanation:

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