Question

Question in the picture please help me.

Answer 1

Answer:

1) $50=2(x+5)+2(x)$

2) $x=10$

3) $15\text{ units}$

Step-by-step explanation:

So we know that the perimeter of the rectangle is 50.

The formula for the perimeter of a rectangle is given by:

$P=2l+2w$

Where l is the length and w is the width.

The length is (x+5) and the width is (x).

Thus, substitute (x+5) for l and (x) for w. Also substitute 50 for P. Therefore:

$50=2(x+5)+2(x)$

And that's our equation.

To solve, first distribute:

$50=2x+10+2x$

Combine like terms:

$50=4x+10$

Subtract 10 from both sides:

$40=4x$

Divide everything by 4:

$x=10$

So, the value of x is 10.

The length is the longer side. Thus, it is (x+5).

We now know that x is 10, substitute:

$x+5\\=(10)+5\\=15$

So, the length is 15 units.

Answer 2

Answer:

Below

Step-by-step explanation:

The perimeter of a rectangle is the sum of its 4 sides.

Let P be the perimeter

● P = x + (x+5) + x + (x+5)

● P = x+x+x+x+5+5

The perimeter is 50 units

● 50 = 4x +10

So this the equation that would model how to find x.

Let's solve it

● 4x + 10 = 50

Substract 10 from both sides

● 4x + 10 - 10 = 50-10

● 4x = 40

Divide both sides by 4

● 4x/4 = 40/4

● x = 10

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Let's find the length.

The length is x+5

Replace x by 10 to find the value of the length.

● 10 + 5 = 15

So the length is 15 units