Question

The perimeter of a rectangle is 70 and it's diagonal is 25. Find it's length and width.

Answer 1

To find the length and width of the rectangle, set up a system of equations based on the given information and solve them simultaneously using the perimeter and Pythagorean theorem equations.

Step-by-step explanation:

To find the length and width of the rectangle, we can set up a system of equations based on the given information.

Let the length be L and the width be W.

Based on the perimeter, we have the equation 2L + 2W = 70.

Using the Pythagorean theorem, we have the equation L^2 + W^2 = 25^2.

Solving these two equations simultaneously can help us find the values of L and W.

Answer 2

P=70
d=25
Let’s name length y and width x
x+x+y+y=70
2x+2y=70
Now we need to write phytagoras theorem for the second equation. x^2+y^2=25^2
x^2+y^2=625
{2x+2y=70
{x^2+y^2=625

{x=35-y
{(35-y)^2+y^2=625

Now just solve it for y yourself❤️hope this helped