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3 years ago

Michael made a baby quilt that was 3 feet wide. Its Perimeter was 16 feet what was its Area. Show me the steps. Thanks

2 answers:

8 0

15 square feet. If one side is 3 the opposite side has to also be 3. And since 3 + 3 = 6 that means that you have 10 left. If you split 10 in half (5 and 5) and draw out the rectangle you will see that two sides are 5 feet while the other two are 3 feet. The perimeter of that rectangle would be 16 feet and the area would be 15 feet.

PtichkaEL [24]3 years ago

4 0

You know that 2 sides are 3 feet, if the said baby quilt is a rectangle. Anyway, 2(of the sides) x 3 = 6. So that's 6 of the 16 feet of the perimeter. The other sides added together is 10, and since you have to split 10 in 2, the other sides are 5 feet each. So you have 5+5+3+3=16. Now you take two side that are perpendicular to each other(one 5 feet and another 3 feet) and multiply them. 3x5=15. So the area is 15 feet squared.

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<h3>Further explanation</h3>

<u>Given:</u>

In an auditorium,

$\frac{1}{6}$ of the students are fifth graders,
$\frac{1}{3}$ are fourth graders, and
$\frac{1}{4}$ of the remaining students are second graders.

There are 96 students in the auditorium.

<u>Question:</u>

How many second graders are there?

<u>The Process:</u>

The least common multiple (LCM) of 3 and 6 is 6.

Let us draw the diagram of all students.

$96 \div 6 \ units = 16 \rightarrow \boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16} = 96 \ students$

$\frac{1}{6}$ of the students are fifth graders, or 1 of 6 units above, that is $\boxed{16} = 16 \ students$
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The remainder is 6 units - (1 unit + 2 units) = 3 units, that is $\boxed{16}\boxed{16}\boxed{16} = 48 \ students$ . Or, 96 - 16 - 32 = 48 students.

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Let us count how many second graders are there.

$\boxed{ \ \frac{1}{4} \times 48 \ students = ? \ }$

Thus, there are 12 second-graders in the auditorium.

- - - - - - - - - -

Quick Steps

$\boxed{ \ \frac{1}{4} \times \bigg(1 - \frac{1}{6} - \frac{1}{3} \bigg) \times 96 = ? \ }$

$\boxed{ \ = \frac{1}{4} \times \bigg(\frac{6}{6} - \frac{1}{6} - \frac{2}{6} \bigg) \times 96 \ }$

$\boxed{ \ = \frac{1}{4} \times \frac{3}{6} \times 96 \ }$

$\boxed{ \ = \frac{3}{24} \times 96 \ }$

We crossed out 24 and 96.

$\boxed{ \ = 3 \times 4 \ }$

$\boxed{\boxed{ \ = 12 \ students \ }}$

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Keywords: In an auditorium, 1/6 of the students, fifth graders, 1/3, fourth, 1/4, the remaining students, second, 96, how many, second graders

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