In trapezoid PQRS, . Let X be the intersection of diagonals . The area of triangle PQX is 20, and the area of triangle RSX is 45. Find the area of trapezoid PQRS.

125

Step-by-step explanation:

In the diagram below; we have four triangles

Triangle

PRX; QSX; PQX; RSX

Let;

Δ PRX =

Δ QSX =

Δ  PQX =  = 20

Δ PQX =  = 45

∴

is also parallel to  : as such, =

∴ =

= 20 × 45

= 900

=

= 30

The area of the trapezoid is equal to T

T =

T = 30 + 30 + 20 + 45

T = 125

£56

step-by-step explanation:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743