What is the value of x if the perimeter of both shapes is the same?

Mathematics

1 answer:

AveGali [126]2 years ago

3 0

The value of x is: $\frac{4}{3}$

Recall:

Perimeter of a shape is the sum of all its sides

Thus:

Perimeter of the triangle = $x + x +x+ 4 = 3x + 4$

Perimeter of the rectangle = $2(2x) + 2(x) = 4x + 2x = 6x$

We are told that the perimeter of both shapes are equal. Set both perimeters equal and solve for x.

$3x + 4 = 6x$

Add like terms

$4 = 6x - 3x\\4 = 3x$

Divide both sides by 3

$\frac{4}{3} = x\\x = \frac{4}{3}$

The value of $x = \frac{4}{3}$

Learn more here:

brainly.com/question/20562416

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Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says

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Answer:

$467.77

Step-by-step explanation:

CHECK THE COMPLETE QUESTION

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

From the question, the commission of the salesperson is 5 1/2 % , we can convert to improper fraction as 11/5%, then we can convert to decimal by dividing the numerator by denominator which is 5.5% , we can convert from percentage by saying(5.5%/100)

= 0.055

A)How much commission will the salesperson earn by selling a couch for $495?

His Commission will be

(0.055 x $495 )

= $27.23

B.How much money will the store get from the sale of the couch?

Since we know this Commission as $27.23, then the amount the store get from sale will be

(difference between the commission and the selling price)

($495.00- $27.23)

= $467.77

5 0

2 years ago