Question

Please help right now!!

Answer 1

26.75

Explanation:

Look at the picture.

We have

the right traingle with the legs a = 3.5 and b = 2 + 2 + 5 = 9

the trapezoid with the bases b₁ = 2 + 2 + 5 = 9, b₂ = 5 and the height h = 2.

The formula of an area of a right triangle:

`A=(ab)/(2)`

Substitute:

`A=((3.5)(9))/(2)=15.75`

The formula of an area of a trapezoid:

`A=((b_1+b_2)h)/(2)`

Substitute:

`A=((9+2)(2))/(2)=11`

The area of the shape:

`\bold{A=15.75+11=26.75}`

Answer 2

Check the picture below.

so the figure is really just 3 triangles and one square, we can simply get the area of each shape and sum them up, and that's the area of the composite

`\bf \stackrel{\textit{green triangle}}{\cfrac{1}{2}(9)(3.5)}+\stackrel{\textit{brown triangle}}{\cfrac{1}{2}(2)(2)}+\stackrel{\textit{purple square}}{(2\cdot 2)}+\stackrel{\textit{pink triangle}}{\cfrac{1}{2}(5)(2)} \\\\\\ 15.75+2+4+5\implies 26.75`