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Find the area of the shape shown below.

108units^2

Step-by-step explanation:

1) area of a trapezoid formula:

((a+b)/2)h

where a=base 1

b= base  2

h=height(24)

so

(8+1)/2=4.5

4.5*24=108

area is 108 units^2

108 units²

Step-by-step explanation:

This shape is made of 2 shapes that we know the formula for area. Those 2 shapes are a long rectangle and a triangle. We need to use the formula's to work out the area's of those 2 shape's and then add it together.

→ First of all the area of a triangle is 0.5 × base × height

→ The area of a rectangle is length × width

⇒ We will first work out the area of the triangle but we need the values. The height would 24 and the base length would be 7 because 8 - 1 = 7 so we put these values into the formula,

0.5 × base × height

0.5 × 7 × 24 = 84

So 84 units² is the area of the triangle.

⇒ Now time to work out the area of the rectangle. The length is 24 and the width is 1 so

Width × Length

1 × 24 = 24

So the area of the rectangle is 24 units²

Now we add the two area's together so

24 + 84 = 108 units²

if x = 1, then the answer is 3.5