Find the area of the following composite figures

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Thank you

I like area questions.

On the left we have a triangle, base apparently 9 cm, height 7 cm.

In the middle it's a 3 cm by 9 cm rectangle.

Then it's a parallelogram, base 9.  We have to figure out the height; it must be 16 - 7 - 3 = 6 cm.

Adding up the areas,

A = (1/2) 9×7 + 3×9 + 6×9 = 112.5 sq cm

112.5 sq cm

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204