This is number 7 and 9
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2 answers:
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Answer: 26 cm × 4 cm or
36 cm × 2.89 cm
Step-by-step explanation:
The diagram of the board is shown in the attached photo
Width of the rectangular board is given as 26 cm
The length of a rectangular board is 10 cm longer than its with. This means that
Length of rectangular board = 26 +10 = 36 cm.
Area of rectangular board = length × width. It becomes
36 × 26 = 936cm^2
The board is cut into 9 equal pieces. This means that the area of each piece would be the area of the board divided by 9. It becomes
936 /9 = 104cm^2
The dimensions of the piece would be
Since area of each piece is 104 cm^2 and the width of the bigger board still corresponds to one side of each piece, the other side of each piece will be 104 /26 = 4 cm
Also, the board could have been cut along the length such that one side of the cut piece corresponds to the length of the original board (36 cm)
and the other side becomes
104 /36 = 2.89 cm
The possible dimensions are
26 cm × 4 cm or
36 cm × 2.89 cm
Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:
With this equation we can define y in function of x as:
The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:
The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:
We can express the total cost of painting as:
To calculate the minimum cost, we derive this function C and equal to zero:
The sides of the room have to be x=10 feet.
The height can be calculated as:
The room will have sides of 10 feet and a height of 8.75 feet.