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Free_Kalibri [48]
3 years ago
6

A rectangle has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one ve

rtex is the point (−5, −7) and the origin is in the interior of the rectangle, find the vertex of the rectangle that is opposite (−5, −7).

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

Opposite coordinate of (−5, −7) = (1,1)

Step-by-step explanation:

Let the sides of rectangle be a and b

Perimeter = 2 ( a+b ) = 28

                       a + b = 14

Area = ab = 48

The sides with sum 14 and product 48 is 8 and 6.

a = 8 and b = 6

Since origin is inside the circle, the side with 8 unit is parallel to y axis and side with 6 unit is parallel to x axis

        Opposite coordinate of (−5, −7) = (−5+6, −7+8) =(1,1)

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