Question

What is the area of this figure?


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The area of the figure is

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cm².


A trapezoid with a top length of 4 cm and a bottom length of 14 cm. A right triangle is created in the trapezoid with a long leg length of 10 cm. a Triangle attached to the bottom of the trapezoid has height, when combined with the trapezoid, that measures at 18 cm.

Answer 1

Answer:

146

Step-by-step explanation:

Hey there to find the area of this shape we will divide it into 2 shapes first one is a trapezoid and the second one is a triangle. first, we find the area of a trapezoid. to find the area of a trapezoid we use the formula:

        A = $\frac{a+b}{2} * h$          

in this situation

a = 4

b = 14

h = 10

Now we plug it into the formula which will look like:

       A = $\frac{4+14}{2}*10$

if we solve it:

4+14 = 18

18/2 = 9

9*10 = 90

so the area of the trapezoid is 90

Now we find the area of triangle. to find the area of a triangle we use the formula:

   A = $\frac{1}{2} * b * h$

in this situation

b = 14

h = 8 ( because the height of the trapezoid was 10 and the height of both shapes combined is 18 so we do 18 - 10 = 8 )

Now we put the numbers into the formula  which will look like:

    A = $\frac{1}{2}*14*8$

if we solve it :

14*8 = 112

$112*\frac{1}{2}$ = 56

so the area of the triangle is 56

Now we add the area of both shapes:

56 + 90 = 146

area of the big shape = 146

Have a wonderful day

Answer 2

Answer:

The answer is 146

Step-by-step explanation: