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2 years ago

How much less is the area of a rectangular field 70 by 30 meters than that of a square field with the same perimeter?

Mathematics

1 answer:

dlinn [17]2 years ago

6 0

The area of a rectangular field is 400 meters Less than that of a square field.

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The dimensions of the rectangular field is 70 by 30 meters

The area of the rectangle = length × Width

= 70 x 30

= 2100 m sq.

The perimeter of the rectangle = 2( L + B)

= 2( 70 + 30)

= 200 m

It is given that a square field has the same perimeter.

The perimeter of the square = 4( side)

200 = 4 x side

side = 200/ 4

side = 50 m

Therefore, the area of the square = side x side

= 50 x 50

= 2500 m sq.

The difference between both the areas are;

= 2500 - 2100

= 400

Hence, the area of a rectangular field is 400 meters Less than that of a square field.

Learn more about the area;

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Solve (9xy+5) (8xy+7)

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It’s gonna look like that

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3 years ago

What is the first 6 multiplies of 8

erik [133]

Answer:

8,16,24,32,40, and 48

Step-by-step explanation:

first 6 multiplies of 8 are 8,16,24,32,40, and 48

hope it helps u!

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3 years ago

Solve by substitution. Show each step of your work.

zaharov [31]

5x + y = 15

y = -5x + 15

Substituting y= -5x+15 from first equation into second equation:

3x + 2y = 16

3x + 2·(-5x + 15) = 16

3x - 10x + 30 = 16

-7x + 30 = 16

7x = 30 - 16 = 14

x = 2

Substituting x=2 into the first equation:

5x + y = 15

5(2) + y = 15

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y = 15 - 10

y = 5

So your final answers are x=2 and y=5.

3 0

3 years ago

Read 2 more answers

Evaluate each expression<br> 6! =<br> 3! • 2=<br> 31

Airida [17]

<h2><u>N-FACTORIAL!</u></h2>

<h3> $\mathbb{ \color{brown} \: PROBLEM } \: \: \bold{{ \color{brown}{1}}} :$ </h3>

$\mathcal{SOLUTION: }$

$\: \bold{ \red{6!}= 6×5×4×3×2×1= \boxed{ \bold{ \blue{720}}}}$

Therefore, <u>the value of 6! is 720</u>.

━┈─────────────────────┈━

<h3> $\mathbb{ \color{brown} \: PROBLEM } \: \: \bold{{ \color{brown}{2}}} :$ </h3>

$\mathcal{SOLUTION: }$

$\bold{3! \cdot 2! }\implies \bold{(3×2×1) \cdot( 2×1 )}$

$\: \: \: \: \: \: \: \: \: \: \: \: \implies \: \bold{ 6 \times 2} = \boxed{ \bold{ \blue{12}}}$

Therefore, <u>the value of the given expression is 12.</u>

━┈─────────────────────┈━

<h3><u>EXPLANATION</u><u>:</u></h3>

The mathematical symbol n! is read as "n factorial". The exclamation point "!" is read as factorial. And please remember or take note that 0! is equal to 1, and 1! is also equal to 1.

_______________∞_______________

6 0

2 years ago

The city zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bil

charle [14.2K]

Answer:

The price of adult's ticket is $ 17.73 And

The price of children's ticket is $ 13.85

Step-by-step explanation:

Given as :

The Prices for adult ticket and child ticket in the city zoo is different

Let the price for adult's ticket = $ A

And The price for child's ticket = $ C

Now, according to question :

3 A + 2 C = $ 80.89 And

2 A + 3 C = $ 77.01

Now solve the both equation

So, 2 × (3 A + 2 C) = 2 × $ 80.89 And

3 × (2 A + 3 C) = 3 × $ 77.01

I.e

6 A + 4 C = $ 161.78 And

6 A + 9 C = $ 231.03

Now, ( 6 A + 9 C ) - ( 6 A + 4 C ) = $ 231.03 - $ 161.78

Or, 5 C = $ 69.25

Or, C = $ 13.85

And Put the value of C in above any eq

6 A + 4 × ($ 13.85) = $ 161.78

Or, 6 A = $ 161.78 - $ 55.4

Or, 6 A = $ 106.38

∴ A = $\frac{106.38}{6}$

Or, A = $ 17.73

Hence The price of adult's ticket is $ 17.73 And

The price of children's ticket is $ 13.85 Answer

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3 years ago