Question

PLZ HELP ME PLZZZ I NEED HELP​

Answer 1

y = 40.5 cm

Explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

• A =
  `(d*d')/(2)` where d and d' are the diameters

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

• A"= A - A'
• A" = A -
  `(d*d')/(2)`

• A" = 792-
  `(18*7)/(2)`
• A" = 729 cm²

Let a be the area of the single parallelogram

• a = A"/4 since the parallelograms are congruent
• a = 729/4
• a = 182.25 cm²

the area of a parallelogram is fiven by the formula :

• A = b*h
• b is the base (here y/2) and h the height (here 18/9)

let's find y

• a =
  `(y)/(2)` * 9
• 182.25*2 = y*9
• 364.5 = y*9
• y = 364.5/9
• y = 40.5