What is the area of this composite shape?

Hey there!!

Let us break this shape into two shapes ( a rectangle and a triangle )

Let us break this shape at the end were the line is measured 7in.

The, it would be a rectangle with sides 7 and 6 in

7 = width

6 = length

Area of this rectangle would be length * breadth

= 7 × 6

42 in² is the area of the rectangle

now, moving onto the triangle

We can see a 90° angle after we divide the shape, which means the triangle will be a right triangle and now we use the formula

( 1 / 2 ) × base × height

The longest side is 13 in. , when we broke the figure , the portion on the above would be 7in and the portion below would be 6in.

Now, we found the height, which is 6 in.

The length of the triangle is 6 in. which means, the base of the triangle is 6in.

= ( 1 / 2  ) ( 6 ) ( 6 )

= ( 3 ) ( 6 )

= 18 in²

The total area would be 18 + 42

= 50 in² is the answer

Hope my answer helps!

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

step-by-step explanation:

ask goog great chance of finding the solution there