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3 years ago

Side of a square = 10 m; Perimeter=_____

1 answer:

8 0

ANSWER: 40 m

EXPLANATION: a square has four equal sides, and perimeter is the sum of these sides

since one side is 10 m, we can multiply this by four:

10 m x 4 = 40 m

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Ilya [14]

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(2-0)^2+(4-1)^2}$

$AB=\sqrt{(2)^2+(3)^2}$

$AB=\sqrt{4+9}$

$AB=\sqrt{13}$

Similarly,

$BC=\sqrt{(6-2)^2+(0-4)^2}$

$BC=\sqrt{(4)^2+(-4)^2}$

$BC=\sqrt{16+16}$

$BC=\sqrt{32}$

$BC=4\sqrt{2}$

Now, the length of the rectangle is $AB=\sqrt{13}$ and the width of the rectangle is $BC=4\sqrt{2}$ . So, the area of the rectangle is:

$A=length \times width$

$A=\sqrt{13}\times 4\sqrt{2}$

$A=4\sqrt{26}$

$A\approx 20$

Therefore, the area of the rectangle is 20 square units.

3 0

3 years ago

Draw the two-dimensional shape that makes up the faces of this solid shape.

Art [367]

Answer:

like this?

Step-by-step explanation:

5 0

2 years ago

Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

nlexa [21]

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

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$$PT = x, \ PQ = 3x, \ SR=\frac{8}{3}x$

$TQ=PQ-PT$

$TQ=3x -x=2x$

Triangle proportionality theorem,

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

$$\frac{PS}{SR} =\frac{PT}{TQ}$

$$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}$

Do cross multiplication, we get

$$ PS \times 2x=x \times \frac{8}{3} x$

Divide by 2x on both sides, we get

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

4 0

3 years ago

W* <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}" alt="\frac{5}{6}" align="absmid

evablogger [386]

Answer:

5/6 w

Step-by-step explanation:

reorder the terms ( use the commuative property)

5/6 w

so the answer is 5/6 w

7 0

3 years ago

You are enclosing a rectangular garden with 180 feet of omamental fencing. The area of the garden is 1800 square feet. What are

Brut [27]

Answer:

Step-by-step explanation:

Perimeter is

P = 2L + 2W. We are given the perimeter as 180 feet, so

180 = 2L + 2W. Solve this for either L or W. I chose W, no reason...

180 - 2L = 2W so

90 - L = W Hold that thought. We'll come back to it in a minute.

Area is

A = LW. We are given the area as 1800 square feet, so

1800 = LW. Sub in 90 - L for W:

1800 = L(90 - L). Distribute to get a quadratic:

$1800=90L-L^2$

Get everything on one side and solve for the length by factoring:

$-L^2+90L-1800=0$

Factor this however you like to factor quadratics, to get the length of

L = 30 and L = 60. First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:

90 - 60 = W and

30 = W

So L = 60 and W = 30

4 0

3 years ago