The width of a rectangle is shown below: a coordinate plane with a point a at negative 3, 3 and c at negative 3, negative 4. if the area of the rectangle to be drawn is 35 square units, where should points b and d be located if they lie to the right of points a and c? b(2, 4) and d(2, −3) b(2, 3) and d(2, −4) b(3, 3) and d(3, −4) b(3, −4) and d(3, 3)

We have that
a(-3,3)  c(-3,-4)

we know that
the distance ab=√[(-4-3)²+(-3+3)²---------> 7 units
[area of rectangle]=length*width
35=L*7--------> L=35/7------> L=5 units

 Find point b
 point b lie to the right of point a
so
a (-3,3)
b(-3+5,3)-----> b(2,3)

Find point d
 point d lie to the right of point c
so
c (-3,-4)
d(-3+5,-4)-----> d(2,-4)

the answer is
b(2,3)
d(2,-4)

see the attached figure

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.