Well, if the cement block is going to get painted, then you would have to find the surface area of that rectangular solid.
Multiply 4.5 by 7.25 to get the area of one side, then multiply that answer by 2 to get the area of the side opposite the given side. You'd end up with the area for two congruent sides.
Next, multiply 4.5 by 6.5. Multiply the sum by 2, since there is another congruent side opposite that.
Lastly, multiply 6.5 and 7.25, since they are the only numbers left to multiply anyway. Multiply the product by 2.
Your work should look somewhat like this:
4.5 x 7.25 = 32.625 (x2)
4.5 x 6.5 = 29.25 (x2)
6.5 x 7.25 = 47.125 (x2)
32.625 + 29.25 + 47.125 = 109
Multiply 109 by 2 (there are 6 sides to this prism; 3 are listed, so multiply 2 to get the area of the other 3)
FINAL ANSWER: 218 feet squared
Perimeter of a rectangle formula:
P = 2L + 2W
Length equals:
L = 2W + 15
Substitutute 2W + 15 for L
78 = 2(2(15 + W) + 2W
Multiply the inner parentheses
78 = 2(30 + 2W) + 2W
Multiply the parentheses
78 = 60 + 4W + 2W
Add like terms
78 = 60 + 6W
Subtract 60 from both sides
18 = 6W
Divide both sides by 6
3 = W
Length equals:
2W + 15 = L
Substitute 3 for W
2(3) + 15 =L
Multiply the parentheses
6 + 15 = L
Add like terms
21 = L
Answer:
Andy ate 41 hot dogs
Barry ate 36 hot dogs
Carl ate 26 hot dogs
Step-by-step explanation:
Let the quantity of hot dogs eaten by Andy, Barry and Carl be A, B and C respectively.
Andy ate 5 more than Barry =>
A = B + 5. (Equation i)
Carl ate 10 less than Barry =>
C = B - 10. (Equation ii)
The three atr the total or 103 hot dogs.
ie. A + B + C = 103 (Equation iii)
From i and ii, substitute (B + 5) for A and (B - 10) for C in equation (iii)
(B + 5) + B + (B - 10) = 103
B + 5 + B + B - 10 = 103
B + B + B + 5 - 10 = 103
3B - 5 = 103
3B = 103 + 5
3B = 108
B = 108/3
B= 36
From equation (i)
A = B + 5
A = 36 + 5
A = 41
From equation (ii)
C = B - 10
C = 36 - 10
C = 26
Andy ate 41 hot dogs
Barry ate 36 hot dogs
Carl ate 26 hot dogs