Question

LMNP is a rectangle. Find the value of x and the length of each diagonal.

LN = 7x- 10 and MP = 4x + 3

Answer 1

To find the value of x and the length of each diagonal in rectangle LMNP, use the properties of rectangles.

Step-by-step explanation:

To find the value of x and the length of each diagonal in rectangle LMNP, we can use the properties of rectangles.

In a rectangle, the opposite sides are equal in length.

So, LN = MP.

We can set up the equation 7x - 10 = 4x + 3 to represent the lengths of the sides.

Solving this equation will give us the value of x. Once we have x, we can substitute it back into the expressions to find the lengths of the sides and diagonals.