Question

a garden is shown below. each inch represents 1 foot. what is the area of the garden? show your work and remember your correct units!

Explanation:

Step1: Calculate rectangle area

The rectangle has length $l = 20$ feet and width $w=12$ feet. The area of a rectangle $A_{rectangle}=l\times w$. So $A_{rectangle}=20\times12 = 240$ square - feet.

Step2: Calculate triangle base

The base of the triangle $b=20-(8 + 8)=4$ feet.

Step3: Calculate triangle area

The height of the triangle $h = 6$ feet. The area of a triangle $A_{triangle}=\frac{1}{2}\times b\times h$. So $A_{triangle}=\frac{1}{2}\times4\times6=12$ square - feet.

Step4: Calculate garden area

The area of the garden $A = A_{rectangle}-A_{triangle}$. So $A=240 - 12=228$ square - feet.

Answer:

228 square feet