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?

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

Step-by-step explanation:

Conceptual Analysis

The formula to calculate the area of a surface is:

A=l*w Formula (1)

Where:

A: Area in

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

A₂=l₂* w₂=3 ft *9 ft =27

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

A₁-A₂=720-27

A₁-A₂=