Question

(a) compute (separately) the areas of the four walls. (enter your answers from smallest to largest. include units in your answers. more information.) wall one wall two wall three wall four (c) find the total area by adding the areas of the four walls. (include units in your answer. more information.) (d) consider the four walls as one long wall. compute the total length (of all four walls). (include units in your answer. more information.)

Explanation:

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = l\times h$, where $l$ is the length and $h$ is the height. The height of the walls is $h = 9$ ft.

Step2: Calculate area of first - type wall

For a wall with length $l_1=10$ ft, the area $A_1=l_1\times h=10\times9 = 90$ square - feet.

Step3: Calculate area of second - type wall

For a wall with length $l_2 = 12$ ft, the area $A_2=l_2\times h=12\times9=108$ square - feet.

Step4: List areas of four walls

There are two walls of each type. The areas of the four walls from smallest to largest are: 90 square - feet, 90 square - feet, 108 square - feet, 108 square - feet.

Step5: Calculate total area of four walls

The total area $A_{total}=2\times90 + 2\times108=180 + 216=396$ square - feet.

Step6: Calculate total length of four walls

The total length $L=2\times10+2\times12=20 + 24 = 44$ feet.

Answer:

(a) wall one: 90 square - feet
wall two: 90 square - feet
wall three: 108 square - feet
wall four: 108 square - feet
(c) 396 square - feet
(d) 44 feet