Two math questions I need help on badly?

Can someone please help me on these two math questions please??








Rectangle A B C is drawn with diagonal B D. Side A D is x + 10. Side C D is 5. Side B C is 2x + 8 . ABCD is a rectangle. AD = x + 10, BC = 2x + 8 and CD = 5. Solve for BD. (Be sure to show all work)








Graph quadrilateral ABCD. use the distance formula to find the lengths of all the sides. Give the most specific name for this polygon. (Be sure to show all work)





A (1,0)


B. (3,2)


C.(5,0)


D (3,-2)

Two math questions I need help on badly?
do your homework kid
Reply:1) Opposite sides of the rectangle are equal:


x+10=2x+8


solve for x=2


Draw diagonal BD


Using Pythagoras :


BD ^2=Ab^2+Ad^2


BD^2=29


BD=root 29





2)Length AB=root 8


Length BC=root 8


Length CD=root 8


Length AD=root 8


It is a square
Reply:First...draw it out...visual representation always helps.... the distance formula...usually right triangle help you solve a distance formula...





okay...so you've drawn it


( this is more or less a rectangle)





A--------------------------------B


|........................................ |


|........................................ |


|........................................ |


D---------------------------------C





both sides AD and BC are equal as are AB and DC(definition of a rectanlge)





thus from the information given we can conclude that;





x+10=2x+18; and side AB is equal to 5 as is DC





if we solve for x we find that it equals 2, thus we plug in 2 for x and we get side AD and BC to both equal 12.

marigold