Please help me i have a lot of work today. If a = 6 in and b = 5 in, what is the area of the sketch?

A = 3/2 a² + 4b²

Step-by-step explanation:

The area of a trapezoid is:

A = ½ (w₁ + w₂) h, where w₁ and w₂ are the lengths of the parallel sides and h is the height.

The area of a rectangle is:

A = wh, where w is the width and h is the height.

The total area is:

A = ½ (a + 2a) (a) + (b) (4b)

A = 3/2 a² + 4b²

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).