Question

Total area of 3 figures

Answer 1

Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

`\text{Area}=\text{ }(1)/(2)\text{ x }\pi r^2`

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

`\begin{gathered} \text{Area}=(1)/(2)\text{ x 3.14 x 12 x 12} \\ \text{Area}=226.08\text{ ft}^2 \end{gathered}`

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

`A=(1)/(2)\text{ x base x height}`

base = 64 feet, height = 24 feet

`\text{Area}=(1)/(2)\text{ x }64\text{ x 24 =768 ft}^2`

The total area is

22