Question

George would like to build a garden this year, George measure out his proposed garden and would like to know how many square feet of space he will have to use . Calculate the area of the garden from the picture below

Answer 1

The area is 105.5ft^2

Explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

`Area = 6 * 8 = 48`

The area of the trapezoid is:

`Area = (1)/(2)(9 + 14) * 5`

`Area = (1)/(2)(23) * 5`

`Area = 11.5 * 5`

`Area = 57.5`

So, the area of the garden is:

`Total = 48 + 57.5`

`Total = 105.5`