Asmall, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. what is its area, in square feet?

Answer with Step-by-step explanation:

Let l denotes the length of rectangle

and b denotes its breath.

Then, Perimeter=2(l+b)

Diagonal=

and Area=lb

Perimeter=560 feet

i.e. 2(l+b)=560

(l+b)=280    (on dividing both sides by 2)

Diagonal=200 feet

i.e.

l²+b²=40000   (on squaring both sides of above equation)

Also (l+b)=280

On squaring this, we get

l²+b²+2lb=78400

40000+2lb=78400

2lb=78400-40000

2lb=38400

lb=19200    (on dividing both sides by 2)

Hence, Area of rectangular park is:

19200 square feet

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.