The quadrilaterals ABCD and PQRS are similar. Find the length X of SP.

Step-by-step explanation:

Since Quadrilateral ABCD ~ PQRS, therefore:

Let's find the value of x by using the ratio of two corresponding sides of both quadrilaterals. Let's use:

CD = 5

RS = 4.5

DA = 4

SP = x

Cross multiply

Divide both sides by 5

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x