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g100num [7]
1 year ago
6

the length of a rectangular playground exceeds twice its width by $25$ feet, and the perimeter of the playground is $650$ feet.

what is the area of the playground in square feet?
Mathematics
1 answer:
Dafna11 [192]1 year ago
8 0

The area of the rectangular playground  = 22,500 ft².

<h3>How to Find the Area and Perimeter of a Rectangle?</h3>

Perimeter of a rectangle = 2(length + width)

Area of a rectangle = (length)(width).

Let "w" represent the width of the rectangular playground. Therefore:

Width of the rectangular playground = w feet

Length of the rectangular playground = (2w + 25) feet

Perimeter of the rectangular playground = 650 feet

Find w using the perimeter formula

2((2w + 25) + w) = 650

2(3w + 25) = 650

6w + 50 = 650

6w = 650 - 50

6w = 600

w = 100

Width of the rectangular playground = w = 100 feet

Length of the rectangular playground = (2w + 25) = 2(100) + 25 = 225 feet.

Area of the rectangular playground = (225)(100) = 22,500 ft²

Learn more about the area of rectangle on:

brainly.com/question/14137384

#SPJ1

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1. We assume, that the number 128 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 128 is 100%, so we can write it down as 128=100%. </span>
<span>4. We know, that x is 51% of the output value, so we can write it down as x=51%. </span>
5. Now we have two simple equations:
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7. Solution for what is 51% of 128

128/x=100/51
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<span>128=1.96078431373*x       - </span>we divide both sides of the equation by (1.96078431373) to get x
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Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be <em>x.</em>

<em />

Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).

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