SOLUTION: The area of a rectangle is 5000 ft^2. The diagonal is 10 feet longer than the length. What are the dimensions of the rectangle rounded to the nearest foot.
The prompt says that t
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Question 765200: The area of a rectangle is 5000 ft^2. The diagonal is 10 feet longer than the length. What are the dimensions of the rectangle rounded to the nearest foot.
The prompt says that this can be done on the calculator, but I can't wrap my head around it.
Any help would be appreciated! Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website! The area of a rectangle is .
The diagonal is longer than the length
The diagonal divides rectangle into two right angle triangles, and we can use Pythagorean theorem:
if is longer than the length , then
so, substitute it in and we are told that this is 10 feet longer than one side,
........square both sides
go to and solve it for ......plug it in
.....multiply by
now find
check:
if then diagonal is
check if rounded to whole number
