Question

if a = 34 ft, b = 14 ft, c = 17 ft, and d = 18 ft, what is the area of the living room and hallway together?
a. 166 ft²
b. 782 ft²
c. 374 ft²
d. 83 ft²
note: figure not drawn to scale

Explanation:

Step1: Split shape into two rectangles

First rectangle: width $c=17$ ft, height $d=18$ ft. Second rectangle: width $a - c=34 - 17=17$ ft, height $b=14$ ft.

Step2: Calculate area of first rectangle

Area1 = $c \times d = 17 \times 18 = 306$ ft²

Step3: Calculate area of second rectangle

Area2 = $(a - c) \times b = 17 \times 14 = 238$ ft²

Step4: Total area

Total = Area1 + Area2 = $306 + 238 = 782$ ft²

Answer:

B. 782 ft²