The length of a rectangular board is 10 centimeters longer than its width. the width of the board is 26 centimeters. the board is cut into 9 equal pieces. a: what is the area of each piece b: what are the possible dimensions of each piece? ( take the dimensions to be whole numbers ) what are the steps.

Let w be the width of the rectangular board

Let l be the length of the rectangular board.

Given that w = 26cm

∴ l = 26 + 10 = 36cm    [∵ length is 10cm longer than width]

Now the board can be cut into 9 equal pieces, each of length 4cm along the length of the board    [∵ 9 × 4 = 36]

The width of each of the 9 pieces will remain 26cm.

Answer A : area of each piece is

A = l × w = 4 × 26 =

Answer B : dimension of each piece is

l = 4 cm

w = 26 cm

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

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6