Question

The sides of a rectangle in the coordinate plane are parallel to the axes two of the vertices of the rectangle are (3,-2) and (-4,-7) find coordinates for the other two verticals find the area of the rectangle

Answer 1

C(-4,-2), D(3,-7)

`Ar=35unit^(2)`

Explanation:

we procced to identify points:

A(-4,-7), B(3,-2)

for being the sides of a rectangle parallel to the axes, we find the other two vertices (VIEW GRAPH)

C(-4,-2), D(3,-7); Area of the rectangle Ar=b*h, where

`b=(X_(D)-X_(A)); h=(Y_(B)-Y_(D))`

So Ar=(3-(-4))*(-2-(-7)) = (3+4)*(-2+7)=7*5=
`35unit^(2)`