In rectangle PQRS, PR=18x-28 and QS=x+380. Find the value of x and the length of each diagonal.
17x = 408
x = 24
Gosnkasnhf
To find the value of x and the length of each diagonal in rectangle PQRS, we need to use the properties of a rectangle.
In a rectangle, opposite sides are congruent. Therefore, we know that PR is equal to QS.
Setting up an equation:
PR = QS
18x - 28 = x + 380
Now, let's solve this equation for x:
18x - x = 380 + 28
17x = 408
x = 408 / 17
x ≈ 24
Now that we have found the value of x, we can substitute it back into either PR or QS to find the length of each diagonal. Let's use PR:
PR = 18x - 28
PR = 18(24) - 28
PR = 432 - 28
PR = 404
So the length of each diagonal is 404 units.
Huh?
in a rectangle the diagonals are equal.
18 x - 28 = x + 380
17 x = 352
x = 20.7
etc