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3 years ago

The width of a rectangle is equal to m cm, but it’s length is five times greater than the width. Find the area of the rectangle.

Mathematics

1 answer:

Irina18 [472]3 years ago

3 0

Area of rectangle is $5m^{2}\ cm^{2}$

Step-by-step explanation:

Given,

Width of rectangle = m cm

As length is 5 times more than width;

Length of rectangle = 5m cm

Area of rectangle = Length x Width

$Area\ of\ rectangle = 5m*m\\Area\ of\ rectangle = 5m^{2} \\As\ length\ and\ width\ both\ are\ in\ cm\,\ therefore\\Area\ of\ rectangle = 5m^{2}\ cm^{2}$

Area of rectangle is $5m^{2}\ cm^{2}$

Keywords: Area, Multiplication, Rectangle.

Learn more about rectangles at:

#LearnwithBrainly

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Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

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Whereas the area of a circle for a radius r is given as

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Now the ratio is given as

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}$

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

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elena-s [515]

Answer:

1) 20 cm

2) 22.4 in

3) 15 ft

Step-by-step explanation:

For this question, you have to use the Pythagorean theorem.

Why?

Well, because it is a right triangle and you have 2 sides given and you want to find the third side.

Now let's solve this problem!

For number 1 we have:

a = 16 cm and B = 12 cm

you need to find the 3rd side which is c (aka the hypothenuse)

so let's write the equation:

a^2 + b^2 = c^2

Then we substitute with what we have given.

16^2 + 12^2 = c^2

Using a calculator solve the equation

400 = c^2

Now we have to find the square root from both sides of the equation.

c = 20 cm (That's the final answer)

For number 2 we have:

a = 10 in and b = 20 in

we follow the same steps as in number 1

a^2 + b^2 = c^2

10^2 + 20^2 = c^2

500 = c^2

c = 22.4 in (That's the final answer)

For number 3 we have:

a = 9 ft and b = 12 ft

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