Simplify using perfect squares or factor trees. Show your work.

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

6

if u take √36 and put it in the calculator your answer will be 6 or if u take 6×6 and u will end up with 36

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Evelyn is shopping for laundry detergent, and she prefers to get the best unit price she can. At the store, brand A is priced at

Bad White [126]

Answer: Brand B is the best unit price

Explanation:

Brand A:
6 = 54$

1 = 54/6
1 = 9$

Brand B:

9 = 63$

1 = 63/9

1 = 7

So brand B is much cheaper

8 0

3 years ago

A rectangle and a square have the same perimeter. the rectangle is of length 6cm and has an area of 48cm², find the length of th

EleoNora [17]

<em>The length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Explanation:</h2>

Let's call:

$A_{s}:Area \ of \ square \\ \\ A_{r}:Area \ of \ rectangle \\ \\ P_{s}:Perimeter \ of \ square \\ \\ P_{r}:Perimeter \ of \ rectangle$

From the question, we know that:

<em>A rectangle and a square have the same perimeter.</em>

So:

$P_{s}=P_{r}$

Moreover:

<em>The rectangle is of length 6cm and has an area of 48cm²</em>

Accordingly:

$For \ Rectangle: \\ \\ L:Length \\ W:Width \\ \\ A_{r}=L\times W \\ \\ 48=6W \\ \\ W=8$

Also:

$A_{s}=s^2 \\ \\ S:Side \ of \ square$

From the statement of perimeters:

$P_{s}=P_{r} \\ \\ \\ But: \\ \\ P_{s}=4s \\ \\ P_{r}=2W+2L \\ \\ \\ Then: \\ \\ 4s=2W+2L \\ \\ \\ But: \ W=8 \ and \ L=6 \\ \\ 4s=2(8)+2(6) \\ \\ 4s=16+12 \\ \\ 4s=28 \\ \\ \boxed{s=7cm}$