Question

Find the area of this figure ground your answer to the nearest hundredth

Answer 1

Step-by-step explanation

Since we have a semicircle and a right triangle, we first need to compute the area of each shape and then add the surfaces:

Area of the right triangle:

`(1)/(2)\cdot\text{Base}\cdot\text{Height}=`

The base is equal to 6ft and the height is equal to 8 ft:

The area of the triangle is as follows:

`=(1)/(2)\cdot6\cdot8=24ft^2`

Now, the area of the semicircle is given by the following equation:

`\text{Area}_{\text{semicircle}}=3.14\cdot(r^2)/(2)`

Where r= radius = diameter/2 = 8/2 = 4

Plugging in the values:

`Area_(semicircle)=3.14\cdot(4^2)/(2)=3.14\cdot(16)/(2)=3.14\cdot8=25.12ft^2`

Finally, we need to add the surfaces:

Area=Area_right triangle + Area_semicircle

Area = 24+25.12 = 49.12 ft^2

In conclusion, the solution is 49.12 ft^2