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Mashcka [7]
2 years ago
10

Garden a and garden b are two rectangular gardens that are each surrounded by 120 feet of fencing. garden a has one side length

of 25 feet and garden b has one side length of 50 feet. which garden has the largest area? show all of your work.
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
4 0

The garden with the largest area is garden b with an area of 6000 feet squares

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

The area of a rectangle is simply known as the number of unit squares that can fit into the rectangle.

The formula for calculating the area of a rectangle is written thus;

Area of a Rectangle = (Length × Breadth)

<h3>How to determine the area</h3>

Using the formula:

Area of a Rectangle = (Length × Breadth)

For garden a;

Length = 25 feet

Breadth = 120 feet

Substitute the values into the formula

Area of garden a = 25 × 120 = 3000 feet squares

For garden b;

Length = 50 feet

Breadth = 120 feet

Substitute the values into the formula

Area of garden b = 50 × 120 = 6000 feet squares

Therefore, the garden with the largest area is garden b with an area of 6000 feet squares.

Learn more about area of a rectangle here:

brainly.com/question/14137384

#SPJ1

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Greatest common divisor of 60 and 792 using the prime factorization method
klio [65]

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12

Step-by-step explanation:

8 0
3 years ago
The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle​
AVprozaik [17]

Answer:

  • Length of rectangle is 31 yards and Width is 24 yards.

Given:

  • The length of a rectangle is 7 more than the width.
  • The area is 744 sqaure yards

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

\\  \:  \:  \:  \:  \pink{ \dashrightarrow \:  \:  \:  \:  \sf { \underbrace{Area_{(Rectangle)} =  Length × Width  }}} \\  \\

On Substituting the required values, we get;

\\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x - 744 = 0 \\ \\ \\  \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x = 24 \:  or \:   - 31 \\ \\

As we know that width of the rectangle can't be negative. So x = 24

<u>Hence</u>,

  • Width of rectangle = x = 24 yards
  • Length of the rectangle = x + 7 = 31 yards

\thereforeLength of rectangle is 31 yards<u> </u>and Width is 24 yards.

8 0
2 years ago
I need HELP !!!!!!!!!!!!!!!!
Annette [7]

Answer:

I think the solution is (p,q)=(-2,-5)

3 0
3 years ago
Madam Siti bought the same lengths of red and yellow ribbons. After she used 836 cm of the red ribbon, the length of the yellow
Yuliya22 [10]

Answer: 1045 cm of red ribbon and 1045 cm of yellow ribbon

<u>Step-by-step explanation:</u>

Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.

  • bought the same lengths of red and yellow: R = Y
  • after used 286 of red, yellow is 5 times the remaining red; 5(R - 836) = Y

Use substitution method to solve:

5(R - 836) = R

5R - 4180 = R   <em>distributed 5 on the left side</em>

4R - 4180 = 0   <em>subtracted R from both sides</em>

4R = 4180         <em>added 4180 to both sides</em>

R = 1045         <em>divided both sides by 4</em>


5 0
3 years ago
Read 2 more answers
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