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3 years ago

The length of a rectangle is twice its width and the area is equal to the area

Mathematics

2 answers:

Keith_Richards [23]3 years ago

6 0

Answer:

can one of yall help on mine

Step-by-step explanation:

Troyanec [42]3 years ago

6 0

The perimeter of the rectangle is 48 cm.

Step-by-step explanation:

Let the width of the rectangle = x

The length of the rectangle = 2x

so area =L X B = x X 2x = $2x^{2}$

The each side of the square is 12 cm

so area = 12 X 12 sq cm = 144 sq cm

According to the problem,

$2x^{2}$ = 144

or, $x^{2}$ = 144/2 = 72

or, x = $\sqrt{72}$

= 8.4 = 8 (approx)

so length = 16 cm and width = 8 cm

Perimeter = 2 X ( L + B) = 2 X (16+8) = 48 cm

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

3 years ago

The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$

Ksivusya [100]

Let simplify the equations $a^7xy-a^6y-a^5x=a^4(b^4-1)$ and $(a^mx-a^n)(a^py-a^2)=a^4b^4$ :

1) $a^7xy-a^6y-a^5x+a^4=a^4b^4$

and

2) $a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4$ .

Equate the coefficients:

 $xy: m+p=7 \\ y: n+p=6 \\ x: m+2=5 \\ 1: n+2=4$ .
Then $n=2 \\ p=4 \\ m=3$ and mnp=24.

3 0

3 years ago

A jacket costs $35 and has an 8 percent tax rate

sleet_krkn [62]

After tax price $37.80
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6 0

3 years ago

Read 2 more answers

What is the product of 709 and 68?

I am Lyosha [343]

Answer:

$709*68=48212$