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 90 feet wall two 90feet wall three 108feet wall four 108feet (c) find the total area by adding the areas of the four walls. (include units in your answer. more information.) 396feet (d) consider the four walls as one long wall. compute the total length (of all four walls). (include units in your answer. more information.) 44feet (e) find the total area by multiplying the total length times the height. (include units in your answer. more information.)

Explanation:

Step1: Calculate area of wall one

The dimensions of wall one are 9 ft (height) and 10 ft (length). Area of a rectangle is $A = l\times h$. So, $A_1=9\times10 = 90$ square - feet.

Step2: Calculate area of wall two

Wall two has the same dimensions as wall one (opposite walls in a rectangular - shaped room). So, $A_2 = 9\times10=90$ square - feet.

Step3: Calculate area of wall three

The dimensions of wall three are 9 ft (height) and 12 ft (length). So, $A_3=9\times12 = 108$ square - feet.

Step4: Calculate area of wall four

Wall four has the same dimensions as wall three (opposite walls in a rectangular - shaped room). So, $A_4=9\times12 = 108$ square - feet.

Step5: Calculate total area by adding areas

$A_{total}=A_1 + A_2+A_3 + A_4=90 + 90+108 + 108=396$ square - feet.

Step6: Calculate total length of the four - wall 'long wall'

The lengths of the sides of the base of the room are 10 ft and 12 ft. The total length of the four - wall 'long wall' is $L=(10 + 12)\times2=44$ feet.

Step7: Calculate total area by multiplying total length and height

$A = L\times h=44\times9 = 396$ square - 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
(e) 396 square feet