A school gym has an area of 2400 square feet. For a pep rally there are 700 people in the gym. How many square feet are availabl
2 answers:
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<h3>Answer: 1075 square feet</h3>
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Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
- We can write "square feet" as "sq ft" or as "ft^2" without quotes.
- The portion "5 ft", in the upper left corner, is never used.
Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.
This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.
which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.
which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.