Question

Drake's yard measures 24 ft by 30 ft. His garden, which is part of the yard, measures 36 inches by 108 inches. What is the area of the yard, not including the garden?

Answer 1

24 x 30 = 720 sq. ft

36 x 108= 3888 sq. inches

3888 inches divided by 12 inches= 324 ft.

720 ft - 324 ft. = 396 ft is the yard only without the garden

Answer 2

A₁-A₂=
`693ft^(2)` : Area of the yard, not including the garden

Explanation:

Conceptual Analysis

The formula to calculate the area of ​​a surface is:

A=l*w Formula (1)

Where:

A: Area in
`ft^(2)`

l: length in ft

w: width in ft

Nomenclature

A₁: Drake's yard area ,l₁: Drake's yard length, w₁= Drake's yard width

A₂: garden area , l₂: garden length, w₂=garden width

Known data

1ft=12 in

l₁=24 ft w₁= 30 ft

l₂=36 in*1f/12in =3ft w₂=108 in*1ft/12in=9ft

Problem development

We replace the data in formula (1) to calculate areas:

A₁=l₁* w₁=24 ft *30 ft =720
`ft^(2)`

A₂=l₂* w₂=3 ft *9 ft =27
`ft^(2)`

A₁-A₂:Area of the yard, not including the garden

A₁-A₂=720
`ft^(2)`-27
`ft^(2)`

A₁-A₂=
`693ft^(2)`