SOLUTION: please help me solve this problem. find the perimeter and area of a rectangle with a length of 6ft and a diagonal of 10 ft.
Algebra.Com
Question 922270: please help me solve this problem. find the perimeter and area of a rectangle with a length of 6ft and a diagonal of 10 ft.
Answer by IBMath(7) (Show Source): You can put this solution on YOUR website!
Since the length of a rectangle is 6 feet, we just need to find the width.
Since, A = lw, Perimeter = 2(l+w)
The diagonal of a rectangle splits it in half, making it into 2 right triangles. And if the hypotenuse(diagonal) is 10 ft. Just plug in the pythagorean theorem where a^2 + b^2 = c^2
So: 6^2 + b^2 = 10^2
Where is b = the width of the Rectangle and Triangle
36 + b^2 = 100
b^2 = 64
b = 8
So the area would be 8 * 6 = 48 feet
And the perimeter would be 2(8+6) = 28 feet
Good Luck!
RELATED QUESTIONS
Please help me solve this problem:
The length of a rectangle is 20ft. and the diagonal (answered by Euler)
A square with width of 6ft and length 5ft; What is the perimeter and area of the... (answered by Don Malabag)
Please help me solve this equation: Find the area and perimeter of a rectangle with... (answered by ewatrrr)
Please help me solve this question . "find the area of a rectangle with a length of (x+2) (answered by mananth)
Please help me find the dimensions of a rectangle that has an area of 10 and a diagonal... (answered by venugopalramana)
Please help me solve this:
find the length of a rectangle with area 56m^2 and width... (answered by Alan3354)
please help me solve this problem: the length of a rectangle is 4cm more than twice its... (answered by stanbon)
Please help me solve this word problem:
the width of a rectangle is 1 centimeter less... (answered by sudhanshu_kmr)
Please help me solve this problem if a rectangle has length x+3 and width x-7. Find the... (answered by jim_thompson5910)