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kap26 [50]
3 years ago
15

Which is the best strategy to use to solve this problem? Sophie wants to make a large rectangular sign that has an area of 60 sq

uare feet. She wants to put a border around the sign, but she wants to use as little border material as possible. What are the dimensions Sophie should use for this sign?
A. Write a number sentence. Use a number sentence to calculate the area of a rectangle. Use guess and check to find two numbers that when multiplied will give a product of 60.

B. Make a list. Create a list of all possible whole-number combinations of length and width that would equal an area of 60 square feet. Then start calculating the perimeter of each rectangle. Look for a pattern to decrease the number of calculations you have to make.

C. Use objects to model the problem. Arrange 60 square tiles in different patterns that create a rectangular shape. Count the number of tiles on the perimeter of each of the shapes.
Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0
Answer: All of the plans could get you to the correct answer. However, being able to write and solve an equation would generally be the fastest. Therefore, I would chose choice A.

In this problem, you are dealing with 2 separate equations. First, you need to find the volume, so A = LW. And you are also dealing with the perimeter formula, P = 2L + 2W.

All you need to do is find option for the area that gives the smallest perimeter.
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For a right triangle, the sum of the squares of two shorter side should be equal to the square of the third side. The calculations for each choices are shown below. 

a. (5 mm)² + (12 mm)² = 169 mm²    ;    (13 mm)² = 169 mm²   ;     EQUAL
b. (20 mm)² + (48 mm)² = 2704 mm²   ; (52 mm)² = 2704 mm²  ;    EQUAL
c. (6 mm)² + (8 mm)² = 100 mm²       ;    (10 mm)² = 100 mm²   ;     EQUAL
d. (11 mm)² + (24 mm)² = 697 mm² ;  (26 mm)² = 676 mm²  ;  NOT EQUAL

Therefore, the answer is letter D. 
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3 years ago
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slava [35]

Answer:

108 student tickets, and 176 adult tickets were sold.

I hope I helped, and thanks for the points!

Step-by-step explanation:

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Step-by-step explanation:

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