Question

Points (4, 5) and (10, 5) are vertices of a rectangle.

The length of the rectangle is twice the width.

The other vertices are located at (4, ___ ) and (10, ___ ). What could these ordered pairs be?

Answer 1

Answer:

Points (4, 5) and (10,+5) are vertices of a rectangle.

The length of the rectangle is twice the width.

The other vertices are located at (4, ___ ) and (10, ___ ). What could these ordered pairs be?

The length of the rectangle is equal to distance between given points:

L=sqrt%28%2810-4%29%5E2%2B%285-5%29%5E2%29

L=sqrt%286%5E2%2B0%5E2%29

L=sqrt%2836%29

L=6

=> then the width is W=3

The other vertices are located 3 units above or below given points.

(4, 5%2B3) and (10,+5%2B3)

or

(4, 5-3) and (10,+5-3)

=> the other vertices are located at (4, 2) and (10, 2) or at (4, 8) and (10,+8)