The arroyos are planning to build a brick patio that approximates the shape of a trapezoid. the shorter base of the trapezoid needs to start with a row of 5 bricks, and each row must increased by 2 bricks on each side until there are 25 rows. how many bricks do the arroyos need to buy? a. 1325 bricks c. 3125 bricks b. 1850 bricks d. 1575 bricks

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it