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i added a photo of the situation

inside an ellipse (its formula x^2 /a^2 + y^2 /b^2 =1)

we block an isosceles trapeze .

the large base of the trapeze is on the X axes.

show that the maximal space of the trapeze is 3^0.5( a*b)?

i tried to get the feild of the trapeze by signing the height by X

but if i connect it to the ellipse formula for as x-b

i need another variable for the small base of the trapeze.

how can i solve it?

i tried by integrals but i dont know the formula of the trapeze fonction

what to do?

how do i prove that the maximal space of the trapeze is 3^0.5( a*b)?

plz help

inside an ellipse (its formula x^2 /a^2 + y^2 /b^2 =1)

we block an isosceles trapeze .

the large base of the trapeze is on the X axes.

show that the maximal space of the trapeze is 3^0.5( a*b)?

i tried to get the feild of the trapeze by signing the height by X

but if i connect it to the ellipse formula for as x-b

i need another variable for the small base of the trapeze.

how can i solve it?

i tried by integrals but i dont know the formula of the trapeze fonction

what to do?

how do i prove that the maximal space of the trapeze is 3^0.5( a*b)?

plz help